局部互补广义变指数加权MORREY空间中的广义加权HARDY算子及其交换子

IF 0.3 Q4 MATHEMATICS Journal of Mathematical Analysis Pub Date : 2022-03-30 DOI:10.54379/jma-2022-1-2

C. Aykol, Zuleyxa O. AZIZOVA, ,. Hasanov

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引用次数: 0

摘要

本文研究了加权Hardy算子Hαu和Hαu在局部“互补”广义变指数加权Morrey空间{Mp（·），ω，ξ{0}中的有界性，其特征是变指数p（x），广义函数ω（r）和权。我们还研究了Hαu和Hαu的交换子在空间{Mp（·），ω，ξ{0}中的有界性。

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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GENERALIZED WEIGHTED HARDY OPERATORS AND THEIR COMMUTATORS IN THE LOCAL ”COMPLEMENTARY” GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES

In this paper we study the boundedness of weighted Hardy operators Hα u and Hα u in local ”complementary” generalized variable exponent weighted Morrey spaces {M p(·),ω,ϕ {0} , characterized by variable exponent p(x), a general function ω(r) and a weight ϕ. We also study the boundedness of the commutators of Hα u and Hα u in the spaces {M p(·),ω,ϕ {0} .

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