具有可变指数的加权勒贝格空间中的哈尔系统的基础属性

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-07-15 DOI:10.1134/s0001434624050109

M. G. Magomed-Kasumov

引用次数: 0

摘要

摘要我们获得了哈尔系统在具有可变指数的加权勒贝格空间中作为基的权重的必要条件和充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Basis Property of the Haar System in Weighted Lebesgue Spaces with Variable Exponent

Abstract

We obtain necessary and sufficient conditions for the weight under which the Haar system is a basis in a weighted Lebesgue space with variable exponent.

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.