论文标题
Ergodic理论和分析中的振荡不平等：单参数和多参数的观点
Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives
论文作者
论文摘要
在这项调查中，我们回顾了在分析，千古理论和概率中的重点收敛问题研究中自然出现的有用工具。从单个参数设置和几个参数设置中的振荡估计的角度来看，我们将特别注意点融合现象的定量方面。我们建立了许多新的振荡不平等，并通过基本论点为已知结果提供了新的证据。
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.
