On unconditional bases of reproducing kernels in Fock-type spaces

被引：0
|
作者：
K. P. Isaev
R. S. Yulmukhametov
机构：
[1] Russian Academy of Sciences,Institute of Mathematics with Computer Center
[2] Bashkir State University,undefined
来源：
Functional Analysis and Its Applications | 2017年 / 51卷
关键词：
Hilbert spaces; entire functions; unconditional bases; Riesz bases; reproducing kernels;
D O I：
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中图分类号：
学科分类号：
摘要：
The existence of unconditional bases of reproducing kernels in the Fock-type spaces Fφ with radial weights φ is studied. It is shown that there exist functions φ(r) of arbitrarily slow growth for which ln r = o(φ(r)) as r → ∞ and there are no unconditional bases of reproducing kernels in the space Fφ. Thus, a criterion for the existence of unconditional bases cannot be given only in terms of the growth of the weight function.
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页码：283 / 292
页数：9
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