Weighted anisotropic local Hardy spaces

IF 0.5 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2025-06-04 DOI:10.1007/s10476-025-00077-6

Y. He

引用次数: 0

Abstract

In this paper, we introduce the weighted anisotropic local Hardy spaces \(h_{w, N}^p(\mathbb{R}^n ; A)\) with \(p\in(0,1] \), via the local non-tangential grand maximal function. We also establish the atomic decompositions for the weighted anisotropic local Hardy spaces \(h_{w, N}^p(\mathbb{R}^n ; A)\). In addition, we obtain the duality between \(h_{w, N}^p(\mathbb{R}^n ; A)\) and the weighted anisotropic Campanato type spaces.

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加权各向异性局部Hardy空间

本文通过局部非切极大函数，引入了具有\(p\in(0,1] \)的加权各向异性局部Hardy空间\(h_{w, N}^p(\mathbb{R}^n ; A)\)。我们还建立了加权各向异性局部Hardy空间\(h_{w, N}^p(\mathbb{R}^n ; A)\)的原子分解。此外，我们还得到了\(h_{w, N}^p(\mathbb{R}^n ; A)\)与加权各向异性Campanato型空间的对偶性。

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

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.