重排不变拟banach函数空间的性质

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-06-12 DOI:10.1016/j.na.2025.113854

Anna Musilová , Aleš Nekvinda , Dalimil Peša , Hana Turčinová

引用次数: 0

摘要

本文探讨了重排不变拟banach函数空间理论的几个重要方面。我们主要关注两个主题。首先，我们证明了共振测度空间上重排不变拟banach函数空间的卢森堡表示定理的一个类比。其次，我们发展了基本函数和端点空间的理论。

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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On the properties of rearrangement-invariant quasi-Banach function spaces

This paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the Luxemburg representation theorem for rearrangement-invariant quasi-Banach function spaces over resonant measure spaces. Secondly, we develop the theory of fundamental functions and endpoint spaces.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.