Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 2011, Volume 202, Issue 8, Pages 1085–1103
DOI: https://doi.org/10.1070/SM2011v202n08ABEH004179 (Mi sm7684) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm

A. A. Dolgoborodov, E. A. Sevast'yanov

National Engineering Physics Institute "MEPhI", Moscow
English version PDF (344 kB) Citations (1) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2011v202n08ABEH004179
Abstract: Functions whose sequences of absolute values of zeros have certain extremal properties are constructed in Bergmann spaces with powerlike weight and in more general spaces with mixed norm. These properties can be expressed in terms of subsequences with indices satisfying certain necessary and sufficient conditions. In particular, using these functions it is possible to distinguish between the zero sets of the spaces in question in some cases which have not previously been investigated. This reveals the significant role which subsequences of zeros in general play in the solution of this type of problems.
Bibliography: 8 titles.
Keywords: Bergmann spaces, zeros of analytic functions.
Received: 28.01.2010 and 26.05.2011
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30C15
Language: English
Original paper language: Russian
Citation: A. A. Dolgoborodov, E. A. Sevast'yanov, “Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm”, Sb. Math., 202:8 (2011), 1085–1103
Citation in format AMSBIB
\Bibitem{DolSev11}
\by A.~A.~Dolgoborodov, E.~A.~Sevast'yanov
\paper Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm
\jour Sb. Math.
\yr 2011
\vol 202
\issue 8
\pages 1085--1103
\mathnet{http://mi.mathnet.ru/eng/sm7684}
\crossref{https://doi.org/10.1070/SM2011v202n08ABEH004179}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2866196}
\zmath{https://zbmath.org/?q=an:1244.30075}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011SbMat.202.1085D}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000296354800001}
\elib{https://elibrary.ru/item.asp?id=19066295}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80054710821}
Linking options:
  • https://www.mathnet.ru/eng/sm7684
  • https://doi.org/10.1070/SM2011v202n08ABEH004179
  • https://www.mathnet.ru/eng/sm/v202/i8/p3
    • This publication is cited in the following 1 articles:
    1. E. A. Sevast'yanov, “On zeros of functions rapidly growing in generalized Bergman spaces”, Russian Math. (Iz. VUZ), 61:11 (2017), 40–52  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:685
    Russian version PDF:201
    English version PDF:14
    References:71
    First page:18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025