Tiling Morrey spaces – as a dyadic toy model

IF 0.5 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2025-06-12 DOI:10.1007/s10476-025-00094-5

Y. Sawano, H. Tanaka

引用次数: 0

Abstract

The goal of this paper is to introduce tiling Morrey spaces and their weighted counterparts. A condition under which weights ensure the boundedness of important operators is established. Weights similar to the Muckenhoupt class \(A_p\) within Morrey spaces are dealt with. Additionally, a full characterization of the weights for which two-weight norm inequalities for linear positive operators hold in these spaces is given. Then new class dealt with in this paper contains the one introduced recently by Lerner.

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平铺Morrey空间-作为一个二元玩具模型

本文的目的是介绍平铺Morrey空间及其加权对应空间。建立了一个权重保证重要算子有界性的条件。在Morrey空间中处理类似于Muckenhoupt类\(A_p\)的权重。此外，给出了线性正算子的二权范数不等式在这些空间中所持权的完整表征。本文所讨论的新类包含了Lerner最近介绍的一类。

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.