Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives (Q2692509)
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scientific article; zbMATH DE number 7666798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives |
scientific article; zbMATH DE number 7666798 |
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Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives (English)
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21 March 2023
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Summary: 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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ergodic average
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(pointwise) ergodic theorem
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maximal
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variational
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jump
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oscillation estimate
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0.9286598
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0.8946954
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0.8909618
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0.88847345
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0.88632643
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0.8685292
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