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AfM user guide for Arkiv för matematik - Mittag

1. As for unions and intersections also note that cup U and cap N are used in expressions like X UY whereas bigcup U and bigcap f are used in expressions like ane Ej 3 2 5 Sequences and matrices In AfM we write sequences using braces e g ap As with sums etc above we insist on the limits being given When explicit limits cannot be given or are too cumbersome one should at least mark the index as in az Pr For matrices ajk or tensors we do not require indices to be shown as subscripts 3 2 6 Elementary functions We write the elementary functions as they usually appear in modern higher mathematics e g log tan sinh cosh and arcsin not In tg sh ch nor sin If some other logarithm is more relevant than the natural logarithm one can either write it explicitly as log n or add a sentence such as By log we denote the logarithm to the base 2 3 2 7 Operators Math operators are set upright in the same way as elementary functions The preferable way to define such operators is to use commands like DeclareMathOperator diam diam DeclareMathOperator essinf ess inf These commands come from the package amsmath which is used by the AfM SV Jour document class In the latter definition we have inserted a thinspace and the x means that the limits appear as on lim i e sub and superscripts appear below and above essinf in displaystyle as in ess inf u x In AfM we set function cla
2. New York 1991 W WERMER J Potential Theory Lecture Notes in Math 408 Springer Berlin Heidelberg 1974 Note the following Journal papers The name of the journal should be abbreviated using the current abbreviation by Math Rev Book series The name of a book series and volume number is optional apart from in the case of Lecture Notes in Math by Springer This applies to books proceedings and other collective publications 10 Translations For a paper book not written in a language using the Latin alphabet e g Russian Chinese or Japanese the title should be translated into English with the original language stated within brackets If an English translation exists both a reference to it and to the original should be made See L and M Please consult one of the latest issues of Arkiv for matematik for more ex amples of references 3 3 1 Spelling of names The name of a person should be spelt consistently throughout the paper In case of transcription from Cyrillic it should follow the present transcription system of Math Rev or should be the form that the person herself himself uses when writing in English today Here are the spellings of some names of mathematicians one do not neces sarily have to use all initials Blocki Z Hele Shaw H S R nyi A Ces ro E Henkin G M Sierpi ski W Erdos P H lder O Solomyak M Foia C K hler E Stens nes B Forn ss J E Kre
3. 3 2510 Nodot A ake eras it AA LM DS NOTMS 3 ra E A A E AA e ak 32 12 Restrictions ariar q dd e Re Beg ce az de ee erian BDO Avene a E Goren at eda dl Mode E AA 3 2 14 Mappings z 6 ea ae de he LA Do eye ee a 3 215 Prooisvand lll i de be bo Ae de a a A 3 3 References maa soc 40 e Pe BOS ee Re a E 3 3 1 Spelling of names 1 E RROU0O0OOOoOo Oo Section 1 was written by Institut Mittag Leffler Section 2 by LE T X and Section 3 by Anders Bjorn 1 Introduction 1 1 Final preparation To prepare the final files of your accepted paper for Arkiv f r matematik AfM open the afm template tex file and use it as the basis for your article You will also need to have the other files of this package available Rename the tex file with the surname in small letters of the first author of your paper Please follow the instructions given in the template file and in this user guide as close as possible 1 2 Changes N B Changes other than typographical must be approved by the editor in charge 1 3 Abstract Please add an abstract at the beginning of your paper It will also be generally available on the Springer website for Arkiv f r matematik Therefore the ab stract should make sense without the rest of the paper e g rather than referring to say 3 it is desirable to write out the reference data in full 1 4 Colour figures AfM standard is figures in black and white gre
4. AfM user guide for Arkiv for matematik Contents May 30 2013 1 Introduction 1 1 Final preparation 02000000004 172 Changes snas aage lla ee RA Ma ee Ea 1 3 ADS 2 25 2 4 Ye ee a eee A be ge Vd Colour Heures iire sx Seige e Sek D wah AGG aes OEE Ges 2 TpXnical instructions 2 1 Additional options to documentclass 2 2 Self defined macros o Dray Packages a e paed E A teh Pee See 4 2 4 Figures 2 5 Tildes hats bars checks breves and vecs 2 6 Commutative diagrams e e 2 7 Theorem like environments o 2 8 Linebreaks eu a ee a a aa 3 0 1 Typographical instructions Authors ames mita A a Sil E AA ed bE A ees ae ee way ed eke es 3 1 1 3 1 2 3 1 3 3 1 4 Spelling voto ia a a A de wee AbDreviatiOnS te 2462 A O Bod ee ee eek Denotes ada a a we ah ee ee eS Italic correction lo 4a a a Bee 3 2 Mathematical expressions 000 000004 3 2 1 3 2 2 3 2 3 3 2 4 3 2 9 3 2 6 3 2 7 3 2 8 3 2 9 Parentheses cad dad ee a Nets te Davee dada AA BRACHIONS raro Din Dee ts GS ae coma Gok reise Integrals sums unions intersections and differentials Sequences and matrices e Elementary functions 0 4 Operators 2 ai Gee dae kh oe A ee aad notane fess be beled Rb AG ork hem amp oan forall V and exists 3
5. at a comment on the abuse of notation is given In AfM we denote the standard sets either using boldface N Z Q R and C or blackboard bold N Z Q R and C Of course the usage should be consistent 3 2 3 Fractions In AfM we write fractions between explicit integers in teztstyle as 4 and io All other fractions in textstyle are written using so e g we write 1 2d and 0 0x and not and 4 A fraction like d 2 can alternatively be written as 3d but please be consistent In sub and superscripts we always write fractions using e g f In displaystyle on the other hand we encourage the use of fractions such as P q 3 2 4 Integrals sums unions intersections and differentials L Hide Bud f odi one should remember to have a thinspace before dz In AfM the d is set in math italic We also insist on explicitly writing the set over which the integration is done if it is not too cumbersome to write The set may be given as a condition as in f a da a lt 1 An exception to the rule is if measures and their restrictions are clearly distin guished and it is clear on which set every measure is defined then the set may be omitted Similarly thinspace should be used in differentials such as z dy y dz We also insist on the limits being explicit in sums unions intersections etc as in 00 k gt az and U Es j 1 j 1 In expressions like again with the exception of too cumbersome cases
6. changed Due to font size differences discrepancies are possible in exceptional cases The accent size will be displayed correctly at the typesetter s 2 6 Commutative diagrams Due to the AfM rules all commutative diagrams are to be typeset using the XY pic package of Kristoffer H Rose Commutative diagrams typeset with other packages will have to be reprocessed The XY pic package is available at http www ctan org tex archive macros generic diagrams xypic 2 7 Theorem like environments The following theorem like environments are predefined e theorem lemma e claim sa ABRO e problem aa e property e conjecture EN e corollary e proposition e definition e question e example e solution e exercise e remark Unnumbered 2 8 Linebreaks Please do not insert linebreaks in the text parts manually Due to minimal differences in the font sizes the layout of your paper will not always be exactly the same at the typesetter s Except for multi line equations all manually inserted linebreaks will be removed If it is necessary to avoid linebreaks to ensure the correct meaning of a term then the use of hbox is recommended 3 Typographical instructions Some of the comments below are more difficult to take care of than others All authors should make sure that they comply with the instructions on references in Section 3 3 As for the other instructions we do not expect all authors to fully comply with all of th
7. counter envcountsame uses one counter for all theorems envcountreset resets the theorem counter s every new section envcountsubsectreset resets the theorem counter s every new subsection envcountsubsubsectreset resets the theorem counter s every new subsub section Please also note that the option envcountsect disables the counter resets 2 2 Self defined macros Please do the typesetting without self defined macros that use non standard fonts change font sizes to non standard values or construct terms in a non AfM standard way If these macros do not fit the AfM standards they have to be replaced by the typesetter 2 3 Packages Please reduce the number of added packages to a minimum They also have to be replaced if they do not fit the AfM standard If additional packages are used please make sure that all file s are enclosed The packages amsmath amssymb and xypic are included by default and do not need to be submitted 2 4 Figures Figures should be submitted separately as encapsulated postscript eps files Please use includegraphics to embed figures For colour figures see also Section 1 4 2 5 Tildes hats bars checks breves and vecs Please use tilde hat bar check breve and vec to typeset these accents in mathematical expressions Their sizes will be adjusted automatically according to the AfM layout rules If the size of some accents is not correctly displayed on your system please leave it un
8. d after and and one can also survive without inserting them on low characters such as a and e 3 2 Mathematical expressions 3 2 1 Parentheses There are many types of parentheses available etc Most of these have special meaning e g when defining a set we use see Section 3 2 2 Due to the special meaning of in many situations in AfM we accept only and for usage as ordinary parentheses with no special meaning To increase readability in AfM we insist on avoiding unnecessary parenthe ses e g instead of f x and a be we write f x and a be Please do not use lt and gt as parentheses use langle and rangle instead as in x y typeset as langle x y rangle 3 2 2 Sets In AfM we accept three ways of writing sets rE A 1 lt x lt 2 rE A 1 lt x lt a2 e A l lt x lt 2 The authors should choose one of these ways and use it consistently To use comma instead is not acceptable In the second case please use the command semicolon which is defined in ml afm sty and in the last case please use mid but if the braces are larger also the should be larger in which case one has to use just together with bigm etc Please use setminus to denote the difference of sets Abbreviating x u x gt 0 by u gt 0 is not acceptable the latter is really a set of u s not s However if such constructions occur frequently this can be accepted provided th
9. d the mathematical standard abbreviations a e and a a may be used without explanation On the other hand to write e g PDE ODE or psh for plurisubharmonic without any explanation is not acceptable If such abbreviations only occur a few times they should be replaced by their meaning otherwise an explanation should be given usually on the first occurrence e g second order ordinary differential equations ODEs describe When abbreviations such as i e e g viz a e q e etc are used one should make sure that the final period is not an end of sentence period unless it really ends a sentence The problem is only if the final period is followed by a space as e g here which was typeset as e g here 3 1 3 Denote A common mistake in the mathematical literature is to use denote incorrectly It is not acceptable to write denote X AUB A correct use of denote is seen in let X denote the union AUB 3 1 4 Italic correction In certain situations one has to insert italic correction manually If one uses emph whenever something is emphasized in normal text then one al most always only has to look at theorem like structures and detect formulas within them starting with an upright character which necessitates an italic correction before it e g in Let A be a subset of R This was typeset as Let A be a subset of mathbf R 66 99 Note that no italic correction needs to be inserte
10. em but we do expect all authors to do their best without having to consult other sources of information When typesetting a paper a major concern should be to help the reader by giving it high readability An important part is that the notation should be consistent One should not e g mix e and e unless there is a clear reason for their distinction Another important aspect is not to write in an atypical way such as using strange wording or notation so as not to draw the reader s attention away from the main purpose of the text 3 0 1 Authors names In AfM we insist on writing at least one first name in full for every author of a paper Initials may be given for other first names 3 1 Language In AfM we publish papers in English French and German The comments in this section primarily concern papers in English 3 1 1 Spelling In AfM we accept both American and British spelling The spelling should be consistent throughout this is a more common problem with joint papers For instance do not mix non linear and nonlinear both are acceptable The authors of papers in French should note that these papers do not get the same kind of language check during the typesetting process so these authors have an even larger responsibility of writing a good language with correct and consistent spelling For the spelling of names see Section 3 3 1 3 1 2 Abbreviations Such standard abbreviations as e g i e viz an
11. logically regardless of their labels i e first according to the first author then the second author etc For several items by the same authors the year of publication should decide the sorting Here are a few examples B BJORN J Wiener criterion for Cheeger p harmonic functions on metric spaces in Potential Theory in Matsue Advanced Studies in Pure Mathe matics 44 pp 103 115 Mathematical Society of Japan Tokyo 2006 HK HEINONEN J and KOSKELA P Quasiconformal maps in metric spaces with controlled geometry Acta Math 181 1998 1 61 KZ KEITH S and ZHONG X The Poincar inequality is an open ended condition Preprint Jyvaskyla 2003 KM KINNUNEN J and MARTIO O Choquet property for the Sobolev ca pacity in metric spaces in Proceedings on Analysis and Geometry Novosi birsk Akademgorodok 1999 pp 285 290 Sobolev Institute Press Novo sibirsk 2000 L LANDKoF N S Foundations of Modern Potential Theory Nauka Mos cow 1966 Russian English transl Springer Berlin Heidelberg 1972 Le LENELLS J Riemannian geometry on the diffeomorphism group of the circle to appear in Ark Mat M Maz ya V G On the continuity at a boundary point of solutions of quasi linear elliptic equations Vestnik Leningrad Univ Mat Mekh Astronom 25 13 1970 42 55 Russian English transl Vestnik Lenin grad Univ Math 3 1976 225 242 R Rubin W Functional Analysis 2nd ed McGraw Hill
12. n S G Szeg G Forstneri F Maz ya V G Sz Nagy B Haj asz P M bius A F Uraltseva N N Havin V P Nikol skii S M Please observe the use of H in Erd s and Szeg Note also that we use cprime which is defined in ml afm sty to denote the Cyrillic soft character in Maz ya and Nikol skii 11
13. sses such as BMO Q and VMO Q upright Sim ilarly we set groups such as SO n and PSL 2 upright and also abbreviations with at least two letters as in L R cac T and CR manifold This is most easily handled using DeclareMathOperator or textup Note also that when is used as a relation as in p q one should write it as mid 3 2 8 notin Please use notin and never not in Already Knuth observed that the latter is inferior and that it should preferably never be used 3 2 9 forall V and exists 3 In AfM we do not accept the use of forall V and exists 3 with the sole exception of articles dealing with formal logical expressions when there is no alternative 3 2 10 cdot If AFM we usually avoid using cdot for ordinary multiplication between complex numbers An exception is of course in expressions like 2 3 In expres sions like x y we prefer to insert a thinspace instead of cdot 3 2 11 Norms Please use and not when writing norms such as 3 2 12 Restrictions In AfM we write the restriction of f to the set A as fla 3 2 13 iand Authors who use for the imaginary unit somewhere in their paper should avoid also using as an index In AfM we do want to set the imaginary unit as i not as e g i or If necessary please change your indices one possibility is to permute i gt jekel In AfM we accept the use of Ho
14. wever it should not be used as an index or as a summation variable so in X 2141 and a l 1 one should use the usual 3 2 14 Mappings For mappings such as one should use mapsto and not gt In mappings such as f A gt B f colon A to B please use colon 3 2 15 Proofs and Proofs can be set in several ways but the preferable way is to use the proof environment Most proofs start with Proof or e g Proof of Theorem 1 1 and then we insist on ending it by a O The O should not be used for anything else but ending such proofs If a proof follows soon after the statement of a theorem or similar the proof should start with Proof For a proof making up a whole sub section with a title such as Proof of Theorem 1 1 no O should be used 3 3 References Please refer to references using cite Only cite one reference in each citation i e write L and M instead of L M All references in the reference list should be cited in the text please delete unnecessary references Authors should make sure that the information in the reference list is com plete Mathematical Reviews Math Rev the web version is called MathSciNet and Zentralblatt f r Mathematik contain the necessary information The references should either be numbered or should have alphanumerical labels which should be kept short They should be sorted alphachrono
15. y scales If you wish to have figures printed in colour you have to be prepared to pay for the extra printing cost In the online version colour figures will appear free of charge 2 T pXnical instructions The AfM SV Jour document class is purpose built for the typesetting of Arkiv for matematik AfM due to the special and careful layout rules of this journal It is a modification and in some parts an enhancement of Springer s SVJour document class The intention of the preparation of this special document class is to avoid extensive changes during the typesetting process It should also help to reduce the number of potentially resulting errors This section contains some basic instructions of TRXnical nature to be taken into consideration when adapting a paper to the AfM SV Jour document class The instructions here complement those given in the template file Section 3 the layout part gives a detailed description of some of the type setting rules for Arkiv for matematik 2 1 Additional options to documentclass The following list contains the non standard options to documentclass with a short description numbook all counters are of the structure section counter numbookfigure all figure counters are of the structure section counter numbooktable all table counters are of the structure section counter envcountsect all theorem like environment in short theorem counters are of the structure section

AfM user guide for Arkiv för matematik - Mittag

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AfM user guide for Arkiv f&ouml;r matematik - Mittag

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AfM user guide for Arkiv för matematik - Mittag