遍历理论与分析中的振荡不等式:单参数与多参数观点

IF 1.3 2区数学 Q1 MATHEMATICS

Revista Matematica Iberoamericana Pub Date : 2022-09-03 DOI:10.4171/rmi/1383

Mariusz Mirek, T. Szarek, James Wright

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引用次数: 5

摘要

在这项调查中，我们回顾了在分析、遍历理论和概率中研究逐点收敛问题时自然出现的有用工具。我们将从单参数和多参数设置中的振荡估计的角度，特别关注逐点收敛现象的定量方面。我们建立了一些新的振荡不等式，并用初等自变量对已知结果给出了新的证明。

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Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives

. In this survey we review useful tools that naturally arise in the study of pointwise convergence problems in analysis, ergodic theory and probability. We will pay special attention to quantitative aspects of pointwise convergence phenomena from the point of view of oscillation estimates in both the single and several parameter settings. We establish a number of new oscillation inequalities and give new proofs for known results with elementary arguments.

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来源期刊

Revista Matematica Iberoamericana 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista Matemática Iberoamericana publishes original research articles on all areas of mathematics. Its distinguished Editorial Board selects papers according to the highest standards. Founded in 1985, Revista is a scientific journal of Real Sociedad Matemática Española.