紧定域和非紧定域上的矩阵权值

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-09-12 DOI:10.1016/j.jmaa.2025.130069

Morten Nielsen , Hrvoje Šikić

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引用次数: 0

摘要

研究了1≤p<；∞范围内p值的矩阵权值的Muckenhoupt Ap条件及其与相关标量性质的联系。特别强调权的对角化过程和矩阵权的域所起的作用，其中表明在紧定域和非紧定域上定义的权之间存在几个基本的结构差异。

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Matrix weights on compact and non-compact domains

We study Muckenhoupt

A_{p}

conditions for matrix weights and their connections to related scalar properties for values of p in the range

1 \leq p < \infty

. Special emphasis is put on the process of diagonalisation of weights and on the role played by the domain of the matrix weight, where it is shown that there are several fundamental structural differences between weights defined on compact and non-compact domains.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.