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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}
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    • 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
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