Some remarks on oscillation inequalities
Some remarks on oscillation inequalities
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Publisher
Cambridge, UK: Cambridge University Press
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Language
English
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Cambridge, UK: Cambridge University Press
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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 1990s [Pointwise ergodic theorems via harmonic analysis. Pr...
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Full title
Some remarks on oscillation inequalities
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TN_cdi_proquest_journals_2860553981
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2860553981
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ISSN
0143-3857
E-ISSN
1469-4417
DOI
10.1017/etds.2022.77
