On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight

被引：1

作者：

Isaev, K. P. ^{[1
,2
]}

Yulmukhametov, R. S. ^{[1
,2
]}

机构：

[1] Russian Acad Sci Inst Math UFRC RAS, Ufa Fed Res Ctr, Inst Math, Chernyshevsky Str 112, Ufa 450008, Russia

[2] Bashkir State Univ, Zaki Validi Str 32, Ufa 450074, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 519卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

Hilbert spaces; Entire functions; Reproducing kernels; Unconditional bases; Riesz bases; DENSITY THEOREMS; RIESZ BASES; INTERPOLATION; BERGMAN;

D O I：

10.1016/j.jmaa.2022.126839

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the spaces F-phi of entire functions f such that fe(-phi) is an element of L-2(C), where phi(z) = phi(|z|) is a radial subharmonic function with some regularity property. It was proved that F-phi has Riesz basis of normalized reproducing kernels if and only if (phi(e(r)))'' is bounded above. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：17

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