Weighted weak type mixed $\Phi$-inequalities for martingale maximal operator

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2024-03-22 DOI:10.1007/s10476-024-00005-0

Y. Ren

引用次数: 0

Abstract

In this article, some necessary and sufficient conditions are shown for weighted weak type mixed $\Phi$-inequality and weighted extra-weak type mixed $\Phi$-inequality for martingale maximal operator. The obtained results generalize some existing statements.

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马丁格尔最大算子的加权弱型混合 $$Phi$ -inequalities

本文为马丁格尔最大算子的加权弱型混合（\Phi\）-不等式和加权超弱型混合（\Phi\）-不等式给出了一些必要条件和充分条件。所得到的结果概括了一些已有的陈述。

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.

Weighted weak type mixed \(\Phi\)-inequalities for martingale maximal operator

Abstract