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

共 38 条

[31] ON THE DISTRIBUTION OF INDICATORS OF UNCONDITIONAL EXPONENTIAL BASES IN SPACES WITH A POWER WEIGHT
Isaev, K. P.
Trunov, K. V.
[J]. UFA MATHEMATICAL JOURNAL, 2012, 4 (01): : 58 - 64
[32] REPRODUCING KERNELS OF WEIGHT SQUARE-SUMMABLE SEQUENCES HILBERT SPACES
Zynda, Tomasz Lukasz
[J]. ANNALES MATHEMATICAE SILESIANAE, 2019, 33 (01) : 298 - 305
[33] Weighted p-regular kernels for reproducing kernel Hilbert spaces and Mercer Theorem
Agud, L.
Calabuig, J. M.
Sanchez Perez, E. A.
[J]. ANALYSIS AND APPLICATIONS, 2020, 18 (03) : 359 - 383
[34] Remarks on the existence of unconditional bases for weighted countably-Hilbert spaces and their complemented subspaces
Kondakov, VP
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2001, 42 (06) : 1082 - 1092
[35] Remarks on the Existence of Unconditional Bases for Weighted Countably-Hilbert Spaces and Their Complemented Subspaces
V. P. Kondakov
[J]. Siberian Mathematical Journal, 2001, 42 : 1082 - 1092
[36] Existence of unconditional wavelet packet bases for the spaces Lp (R) and H1 (R)
Ahmad, Khalil
Kumar, Rakesh
Debnath, Lokenath
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (04): : 851 - 863
[37] Reproducing Kernels and Radial Differential Operators for Holomorphic and Harmonic Besov Spaces on Unit Balls: a Unified View
H. Turgay Kaptanoğlu
[J]. Computational Methods and Function Theory, 2011, 10 (2) : 483 - 500
[38] Reproducing Kernels and Radial Differential Operators for Holomorphic and Harmonic Besov Spaces on Unit Balls: a Unified View
Kaptanoglu, H. Trugay
[J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2010, 10 (02) : 483 - 500

← 1 2 3 4 →