Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-08-21 DOI:10.1007/s11868-024-00625-y

Ngo Thi Hong, Dao Van Duong

引用次数: 0

Abstract

In this paper, we give necessary and sufficient conditions for the boundedness of Hausdorff operator on power-weighted Morrey–Herz spaces that are associated with the Opdam–Cherednik transform. Moreover, we provide some Lipschitz estimates for its commutator on such spaces.

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与加权莫雷-赫兹空间上的奥普丹-切勒尼克变换及其换元相关的豪斯多夫算子的估计值

在本文中，我们给出了与奥普丹-切尔尼克变换相关的幂加权莫雷-赫兹空间上豪斯多夫算子有界性的必要条件和充分条件。此外，我们还为它在这些空间上的换元提供了一些 Lipschitz 估计。

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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来源期刊

Journal of Pseudo-Differential Operators and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.20

自引率

9.10%

发文量

期刊介绍： The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.