Generalized Product Hausdorff Operator on Two-Weighted Morrey–Herz Spaces

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI:10.1134/S1061920824030063

D.V. Duong, N.T. Hong

引用次数: 0

Abstract

In this paper, we introduce the generalized product Hausdorff operator and study the boundedness of this operator on product two-weighted Morrey, Morrey–Herz spaces. As consequences, we obtain some results about the bounds of product Hausdorff operator associated with the Opdam–Cherednik transform and the sharp bounds for the product weighted Hardy–Littlewood average operator and the product Hardy–Cesàro operator on such spaces.

DOI 10.1134/S1061920824030063

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双权重莫里-赫兹空间上的广义积豪斯多夫算子

在本文中，我们引入了广义积豪斯多夫算子，并研究了该算子在积两重莫雷、莫雷-赫兹空间上的有界性。由此，我们得到了与 Opdam-Cherednik 变换相关的乘积 Hausdorff 算子的一些边界结果，以及乘积加权 Hardy-Littlewood 平均算子和乘积 Hardy-Cesàro 算子在此类空间上的尖锐边界。 doi 10.1134/s1061920824030063

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

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.