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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 253, Pages 88–100 (Mi tm86)  
Unconditional Exponential Bases in Bergman Spaces

K. P. Isaev, R. S. Yulmukhametov

Bashkir State University
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Abstract: It is proved that unconditional exponential bases cannot be constructed in the Bergman space $B_2(D)$ in the case when $D$ is a bounded convex domain in the plane such that at least at one point of its boundary the curvature exists and is different from zero.
Received in September 2005
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 253, Pages 78–89
DOI: https://doi.org/10.1134/S0081543806020088
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: K. P. Isaev, R. S. Yulmukhametov, “Unconditional Exponential Bases in Bergman Spaces”, Complex analysis and applications, Collected papers, Trudy Mat. Inst. Steklova, 253, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 88–100; Proc. Steklov Inst. Math., 253 (2006), 78–89
Citation in format AMSBIB
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\by K.~P.~Isaev, R.~S.~Yulmukhametov
\paper Unconditional Exponential Bases in Bergman Spaces
\inbook Complex analysis and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 253
\pages 88--100
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm86}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 253
\pages 78--89
\crossref{https://doi.org/10.1134/S0081543806020088}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748328038}
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