Unconditional Bases of Reproducing Kernels for Fock Spaces with Nonradial Weights

被引：0

作者：

Isaev K.P. ^{[1
]}

Lutsenko A.V. ^{[1
]}

Yulmukhametov R.S. ^{[1
]}

机构：

[1] Institute of Mathematics, UFRC RAS, 112, Chernyshevskii St, Ufa

来源：

Journal of Mathematical Sciences | 2022年 / 260卷 / 6期

关键词：

D O I：

10.1007/s10958-022-05725-y

中图分类号：

学科分类号：

摘要：

We prove that the Fock space [InlineMediaObject not available: see fulltext.] with a nonradial weight φ has an unconditional basis of reproducing kernels if and only if such a basis exists for the Fock space [InlineMediaObject not available: see fulltext.] with a certain radial weight υ determined by φ. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：748 / 755

页数：7

共 50 条

[1] On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights
K. P. Isaev
A. V. Lutsenko
R. S. Yulmukhametov
[J]. Analysis and Mathematical Physics, 2023, 13
[2] On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights
Isaev, K. P.
Lutsenko, A. V.
Yulmukhametov, R. S.
[J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2023, 13 (06)
[3] On Unconditional Bases of Reproducing Kernels in Fock-Type Spaces
Isaev, K. P.
Yulmukhametov, R. S.
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2017, 51 (04) : 283 - 292
[4] On unconditional bases of reproducing kernels in Fock-type spaces
K. P. Isaev
R. S. Yulmukhametov
[J]. Functional Analysis and Its Applications, 2017, 51 : 283 - 292
[5] On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight
Isaev, K. P.
Yulmukhametov, R. S.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 519 (02)
[6] Riesz Bases of Reproducing Kernels in Small Fock Spaces
K. Kellay
Y. Omari
[J]. Journal of Fourier Analysis and Applications, 2020, 26
[7] Riesz Bases of Reproducing Kernels in Small Fock Spaces
Kellay, K.
Omari, Y.
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (01)
[8] On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels
K. P. Isaev
R. S. Yulmukhametov
[J]. Lobachevskii Journal of Mathematics, 2019, 40 : 1283 - 1294
[9] On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels
Isaev, K. P.
Yulmukhametov, R. S.
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (09) : 1283 - 1294
[10] GEOMETRY OF RADIAL HILBERT SPACES WITH UNCONDITIONAL BASES OF REPRODUCING KERNELS
Isaev, K. P.
Yulmukhametov, R. S.
[J]. UFA MATHEMATICAL JOURNAL, 2020, 12 (04): : 55 - 63

← 1 2 3 4 5 →