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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 255, Pages 198–220 (Mi znsl948)  
This article is cited in 14 scientific papers (total in 14 papers)

Reproducing kernels and extremal functions in Dirichlet type spaces

S. M. Shimorin

Saint-Petersburg State University
Full-text PDF (250 kB) Citations (14)
Abstract: A number of identities is established for reproducing kernels and extremal functions in Dirichlet type spaces. In certain cases these identities are characteristic. A new proof of Aleman's theorem on extremal functions as contractive multipliers is obtained. As distinct from the original one, it can be extended to vector-valued spaces.
Received: 12.01.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 107, Issue 4, Pages 4108–4124
DOI: https://doi.org/10.1023/A:1012453003423
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: S. M. Shimorin, “Reproducing kernels and extremal functions in Dirichlet type spaces”, Investigations on linear operators and function theory. Part 26, Zap. Nauchn. Sem. POMI, 255, POMI, St. Petersburg, 1998, 198–220; J. Math. Sci. (New York), 107:4 (2001), 4108–4124
Citation in format AMSBIB
\Bibitem{Shi98}
\by S.~M.~Shimorin
\paper Reproducing kernels and extremal functions in Dirichlet type spaces
\inbook Investigations on linear operators and function theory. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 255
\pages 198--220
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl948}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692900}
\zmath{https://zbmath.org/?q=an:0984.46015}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 107
\issue 4
\pages 4108--4124
\crossref{https://doi.org/10.1023/A:1012453003423}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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