奥利兹空间及其双曲合成算子

IF 2.3 3区数学 Q1 MATHEMATICS

Mathematics Pub Date : 2024-09-11 DOI:10.3390/math12182809

Mohammed Said Al Ghafri, Yousef Estaremi, Zhidong Huang

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引用次数: 0

摘要

本文通过将一些 Lp-norm 不等式扩展为奥利兹空间（LΦ-norm）的类似不等式，为奥利兹空间 LΦ(μ)上的组成算子具有阴影性质提供了等价条件。此外，我们还证明，对于奥利兹空间上的组成算子，广义双曲性和阴影性质的概念是等价的。这些结果将 Lp 空间上的类似发现扩展到了奥立兹空间。

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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Orlicz Spaces and Their Hyperbolic Composition Operators

In this paper, by extending some Lp-norm inequalities to similar inequalities for Orlicz space (LΦ-norm), we provide equivalent conditions for composition operators to have the shadowing property on the Orlicz space LΦ(μ). Additionally, we show that for composition operators on Orlicz spaces, the concepts of generalized hyperbolicity and the shadowing property are equivalent. These results extend similar findings on Lp-spaces to Orlicz spaces.

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来源期刊

Mathematics Mathematics-General Mathematics

CiteScore

4.00

自引率

16.70%

发文量

4032

审稿时长

21.9 days

期刊介绍： Mathematics (ISSN 2227-7390) is an international, open access journal which provides an advanced forum for studies related to mathematical sciences. It devotes exclusively to the publication of high-quality reviews, regular research papers and short communications in all areas of pure and applied mathematics. Mathematics also publishes timely and thorough survey articles on current trends, new theoretical techniques, novel ideas and new mathematical tools in different branches of mathematics.