Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 1998, Volume 255, Pages 92–103 (Mi znsl937)  
This article is cited in 1 scientific paper (total in 1 paper)

Carleson measures and uniformly perfect sets

V. L. Oleinik

St. Petersburg State University, Faculty of Physics
Full-text PDF (208 kB) Citations (1)
Abstract: We show that the description of Carleson measures on the Bergman spase of analytic functions on a finitely connected domain $G$ with the power weight is the same one as in the unit disk iff the complement $\overline{\mathbb C}\setminus G$ be an unbounded set without isolated points. In general case the complement of such domain $G$ have to be a uniformly perfect set.
Received: 10.03.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 107, Issue 4, Pages 4029–4037
DOI: https://doi.org/10.1023/A:1012436632556
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: V. L. Oleinik, “Carleson measures and uniformly perfect sets”, Investigations on linear operators and function theory. Part 26, Zap. Nauchn. Sem. POMI, 255, POMI, St. Petersburg, 1998, 92–103; J. Math. Sci. (New York), 107:4 (2001), 4029–4037
Citation in format AMSBIB
\Bibitem{Ole98}
\by V.~L.~Oleinik
\paper Carleson measures and uniformly perfect sets
\inbook Investigations on linear operators and function theory. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 255
\pages 92--103
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl937}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692928}
\zmath{https://zbmath.org/?q=an:0989.30035}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 107
\issue 4
\pages 4029--4037
\crossref{https://doi.org/10.1023/A:1012436632556}
Linking options:
  • https://www.mathnet.ru/eng/znsl937
  • https://www.mathnet.ru/eng/znsl/v255/p92
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:186
    Full-text PDF :70
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024