Lorentz-Herz空间上的Hardy-Littlewood极大函数

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2024-09-19 DOI:10.1007/s40065-024-00472-1

Kwok-Pun Ho

引用次数: 0

摘要

本文将广义洛伦兹空间的研究扩展到洛伦兹-赫兹空间。洛伦兹-赫兹空间由所有勒贝格可测函数组成，使得它们的非递增重排属于加权赫兹空间。本文的主要结果建立了Hardy-Littlewood极大函数在Lorentz-Herz空间上的映射性质。

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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Hardy–Littlewood maximal function on Lorentz–Herz spaces

This paper extends the study of the generalized Lorentz spaces to the Lorentz–Herz spaces. The Lorentz–Herz spaces consist of all Lebesgue measurable functions such that theirs non-increasing rearrangements belong to the weighted Herz space. The main result of this paper establishes the mapping properties of the Hardy–Littlewood maximal function on the Lorentz–Herz spaces.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.