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Izvestiya: Mathematics, 2007, Volume 71, Issue 6, Pages 1145–1166
DOI: https://doi.org/10.1070/IM2007v071n06ABEH002385 (Mi im694) 		 
This article is cited in 21 scientific papers (total in 21 papers)

The absence of unconditional bases of exponentials in Bergman spaces on non-polygonal domains

K. P. Isaev, R. S. Yulmukhametov

Bashkir State University
English version PDF (299 kB) Citations (21) Russian version article
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DOI: https://doi.org/10.1070/IM2007v071n06ABEH002385
Abstract: We prove that it is impossible to construct unconditional bases of exponentials in the Bergman space $B_2(D)$ in the case when $D$ is a bounded convex domain on the plane such that at some point of the boundary the curvature exists and is different from zero.
Received: 10.03.2005
Bibliographic databases:
UDC: 517.54
MSC: 30B60, 30D15
Language: English
Original paper language: Russian
Citation: K. P. Isaev, R. S. Yulmukhametov, “The absence of unconditional bases of exponentials in Bergman spaces on non-polygonal domains”, Izv. Math., 71:6 (2007), 1145–1166
Citation in format AMSBIB
\Bibitem{IsaYul07}
\by K.~P.~Isaev, R.~S.~Yulmukhametov
\paper The absence of unconditional bases of exponentials in Bergman spaces on non-polygonal domains
\jour Izv. Math.
\yr 2007
\vol 71
\issue 6
\pages 1145--1166
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\crossref{https://doi.org/10.1070/IM2007v071n06ABEH002385}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38849187143}
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  • https://doi.org/10.1070/IM2007v071n06ABEH002385
  • https://www.mathnet.ru/eng/im/v71/i6/p69
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:621
    Russian version PDF:227
    English version PDF:18
    References:64
    First page:6
     
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