Polynomial averages and pointwise ergodic theorems on nilpotent groups
Polynomial averages and pointwise ergodic theorems on nilpotent groups
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Author / Creator
Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
Journal title
Language
English
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Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
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Scope and Contents
Contents
We establish pointwise almost everywhere convergence for ergodic averages along polynomial sequences in nilpotent groups of step two of measure-preserving transformations on
σ
-finite measure spaces. We also establish corresponding maximal inequalities on
L
p
for
1
<
p
≤
∞
and
ρ
-variational inequalities on
Alternative Titles
Full title
Polynomial averages and pointwise ergodic theorems on nilpotent groups
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Author / Creator
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TN_cdi_proquest_journals_2776865543
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2776865543
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ISSN
0020-9910
E-ISSN
1432-1297
DOI
10.1007/s00222-022-01159-0