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

共 23 条

[1] BASES OF THE PERTURBED SYSTEM OF EXPONENTS IN WEIGHTED LEBESGUE SPACE WITH A GENERAL WEIGHT
SADIGOVA, S. A. B. I. N. A. R.
GULIYEVA, A. Y. S. E. L. E.
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (03): : 477 - 486
[2] Bases of exponents with a piecewise linear phase in generalized weighted Lebesgue space
Tofig Najafov
Natavan Nasibova
Zahira Mamedova
Journal of Inequalities and Applications, 2016
[3] Bases of exponents with a piecewise linear phase in generalized weighted Lebesgue space
Najafov, Tofig
Nasibova, Natavan
Mamedova, Zahira
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 12
[4] On bases from perturbed system of exponents in Lebesgue spaces with variable summability exponent
Togrul Muradov
Journal of Inequalities and Applications, 2014
[5] On bases from perturbed system of exponents in Lebesgue spaces with variable summability exponent
Muradov, Togrul
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[6] On basicity of perturbed system of exponents in Lebesgue space with variable summability factor
T. R. Muradov
Doklady Mathematics, 2012, 85 : 219 - 221
[7] On basicity of perturbed system of exponents in Lebesgue space with variable summability factor
Muradov, T. R.
DOKLADY MATHEMATICS, 2012, 85 (02) : 219 - 221
[8] ON BASICITY OF PERTURBED SYSTEM OF EXPONENTS IN GRAND-LEBESGUE SPACES
Ismailov, Migdad I.
Alili, Vafa Q.
Aliyarova, Ilakha F.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2023, 49 (01): : 16 - 27
[9] Weighted Sobolev theorem for spatial and spherical potentials in Lebesgue space with variable exponents
Vakulov, B.G.
Samko, S.G.
Doklady Akademii Nauk, 2005, 403 (01) : 7 - 10
[10] On Basicity of a Certain Trigonometric System in a Weighted Lebesgue Space
A. E. Guliyeva
Lobachevskii Journal of Mathematics, 2022, 43 : 2125 - 2132

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