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

DOI10.1070/IM2007V071N06ABEH002385zbMath1148.30029MaRDI QIDQ5451057

R. S. Yulmukhametov, K. P. Isaev

Publication date: 18 March 2008

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (12)

On unconditional exponential bases in weighted spaces on interval of real axis ⋮ Exponential series in normed spaces of analytic functions ⋮ Unconditional bases in radial Hilbert spaces ⋮ On unconditional bases of exponentials in weighted spaces on an interval of the real axis ⋮ Riesz bases of reproducing kernels in Fock-type spaces ⋮ On representation of functions from normed subspaces of \(H(D)\) by series of exponentials ⋮ Representing systems of exponentials in projective limits of weighted subspaces of $H(D)$ ⋮ Representing exponential systems in spaces of analytic functions ⋮ Representation of functions by series of exponentials in normed subspaces of \(A^\infty (D)\) ⋮ Geometry of radial Hilbert spaces with unconditional bases of reproducing kernels ⋮ On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight ⋮ Sampling, interpolation and Riesz bases in small Fock spaces

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