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Matematicheskie Zametki, 1976, Volume 20, Issue 4, Pages 537–548 (Mi mzm7876)  
This article is cited in 3 scientific papers (total in 3 papers)

Lp-spaces of functions analytic in a region with piecewise analytic boundary

A. M. Shikhvatov

Far Eastern National University
Full-text PDF (776 kB) Citations (3)
Abstract: In this paper we study classes of analytic functions which are p-th power summable in a region with piecewise analytic boundary. We also study the spaces conjugate to these spaces and the question of the existence of a basis in these spaces.
Received: 26.12.1974
English version:
Mathematical Notes, 1976, Volume 20, Issue 4, Pages 858–864
DOI: https://doi.org/10.1007/BF01098903
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. M. Shikhvatov, “Lp-spaces of functions analytic in a region with piecewise analytic boundary”, Mat. Zametki, 20:4 (1976), 537–548; Math. Notes, 20:4 (1976), 858–864
Citation in format AMSBIB
\Bibitem{Shi76}
\by A.~M.~Shikhvatov
\paper $L_p$-spaces of functions analytic in a~region with piecewise analytic boundary
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 4
\pages 537--548
\mathnet{http://mi.mathnet.ru/mzm7876}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=482114}
\zmath{https://zbmath.org/?q=an:0349.46026}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 4
\pages 858--864
\crossref{https://doi.org/10.1007/BF01098903}
Linking options:
  • https://www.mathnet.ru/eng/mzm7876
  • https://www.mathnet.ru/eng/mzm/v20/i4/p537
    • This publication is cited in the following 3 articles:
    1. R. F. Shamoyan, S. P. Maksakov, “On some new estimates for a gradient of a function in product domains and related results”, PFMT, 2017, no. 3(32), 69–74  mathnet
    2. R. F. Shamoyan, N. M. Makhina, “On continuous linear functionals in some weighted functional classes on product domains”, Sib. elektron. matem. izv., 12 (2015), 651–678  mathnet  crossref
    3. Loredana Lanzani, Elias M. Stein, “Szegö and Bergman projections on non-smooth planar domains”, J Geom Anal, 14:1 (2004), 63  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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