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Some remarks on oscillation inequalities

Some remarks on oscillation inequalities

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2579214972

Some remarks on oscillation inequalities

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Full title

Some remarks on oscillation inequalities

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2022-09

Language

English

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Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Scope and Contents

Contents

In this paper we establish uniform oscillation estimates on \(L^p(X)\) with \(p\in(1,\infty)\) for the polynomial ergodic averages. This result contributes to a certain problem about uniform oscillation bounds for ergodic averages formulated by Rosenblatt and Wierdl in the early 1990's. We also give a slightly different proof of the uniform oscilla...

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Full title

Some remarks on oscillation inequalities

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Record Identifier

TN_cdi_proquest_journals_2579214972

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2579214972

Other Identifiers

E-ISSN

2331-8422

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