Bases of the perturbed system of exponents in generalized weighted Lebesgue space with a general weight

被引：4

作者：

Guliyeva F.A. ^{[1
]}

Sadigova S.R. ^{[1
]}

机构：

[1] Institute of Mathematics and Mechanics of NAS of Azerbaijan, 9, B.Vahabzade Str, Baku

来源：

Afrika Matematika | 2017年 / 28卷 / 5-6期

关键词：

Basicity; System of exponents; The weighted space; Variable exponent;

D O I：

10.1007/s13370-017-0488-6

中图分类号：

学科分类号：

摘要：

The generalized weighted Lebesgue and Hardy spaces with a general weight are considered. Basicity of a part of exponential system is proved in Hardy classes, where the weight satisfies the generalized Muckenhoupt condition. Using these results the basicity of the perturbed system of exponents in the generalized weighted Lebesgue space is studied. Some special cases are considered. © 2017, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

引用

页码：781 / 791

页数：10