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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 389, Pages 206–231 (Mi znsl4126)  
This article is cited in 3 scientific papers (total in 3 papers)

Aizenberg formula in nonconvex domains and some its applications

A. Rotkevich

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (679 kB) Citations (3)
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Abstract: The paper concerns the operator determined by the kernel of the Aizenberg integral representation for holomorphic functions. A special class of domains such that this operator acts from $C^\alpha(\partial\Omega)$ to $H^\alpha(\Omega)$ is introduced. An example of a nonconvex domain that belongs to this class is described.
Key words and phrases: holomorphic functions of several complex variables, integral representation, Aizenberg formula, Hölder space.
Received: 17.05.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 5, Pages 699–713
DOI: https://doi.org/10.1007/s10958-012-0774-7
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: A. Rotkevich, “Aizenberg formula in nonconvex domains and some its applications”, Zap. Nauchn. Sem. POMI, 389, 2011, 206–231; J. Math. Sci. (N. Y.), 182:5 (2012), 699–713
Citation in format AMSBIB
\Bibitem{Rot11}
\by A.~Rotkevich
\paper Aizenberg formula in nonconvex domains and some its applications
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 389
\pages 206--231
\mathnet{http://mi.mathnet.ru/znsl4126}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 5
\pages 699--713
\crossref{https://doi.org/10.1007/s10958-012-0774-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860371889}
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  • https://www.mathnet.ru/eng/znsl/v389/p206
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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