Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find






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


Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 1, Pages 76–79
DOI: https://doi.org/10.4213/faa3225
(Mi faa3225)
 

This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

Holomorphic Minorants of Plurisubharmonic Functions

T. Yu. Baiguskarov, B. N. Khabibullin

Bashkir State University, Ufa
Full-text PDF (137 kB) Citations (5)
References:
Abstract: Let $\varphi$ be a plurisubharmonic function on a pseudoconvex domain $D$ in an $n$-dimensional complex space. We show that there exists a nonzero holomorphic function $f$ on $D$ such that some local mean value of $\varphi$ with logarithmic additional terms majorizes $\log |f|$. A similar problem is discussed for a locally integrable function on $D$ in terms of balayage of positive measures.
Keywords: holomorphic function, plurisubharmonicity, minorant, balayage, Jensen inequality, mean value in the ball.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00024а
Received: 03.04.2015
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 1, Pages 62–65
DOI: https://doi.org/10.1007/s10688-016-0129-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. Yu. Baiguskarov, B. N. Khabibullin, “Holomorphic Minorants of Plurisubharmonic Functions”, Funktsional. Anal. i Prilozhen., 50:1 (2016), 76–79; Funct. Anal. Appl., 50:1 (2016), 62–65
Citation in format AMSBIB
\Bibitem{BaiKha16}
\by T.~Yu.~Baiguskarov, B.~N.~Khabibullin
\paper Holomorphic Minorants of Plurisubharmonic Functions
\jour Funktsional. Anal. i Prilozhen.
\yr 2016
\vol 50
\issue 1
\pages 76--79
\mathnet{http://mi.mathnet.ru/faa3225}
\crossref{https://doi.org/10.4213/faa3225}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3526975}
\elib{https://elibrary.ru/item.asp?id=25707515}
\transl
\jour Funct. Anal. Appl.
\yr 2016
\vol 50
\issue 1
\pages 62--65
\crossref{https://doi.org/10.1007/s10688-016-0129-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000373350300007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962073240}
Linking options:
  • https://www.mathnet.ru/eng/faa3225
  • https://doi.org/10.4213/faa3225
  • https://www.mathnet.ru/eng/faa/v50/i1/p76
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:391
    Full-text PDF :154
    References:95
    First page:60
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024