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Polynomial averages and pointwise ergodic theorems on nilpotent groups

Polynomial averages and pointwise ergodic theorems on nilpotent groups

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2776865543

Polynomial averages and pointwise ergodic theorems on nilpotent groups

About this item

Full title

Polynomial averages and pointwise ergodic theorems on nilpotent groups

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

Journal title

Inventiones mathematicae, 2023-03, Vol.231 (3), p.1023-1140

Language

English

Formats

Publication information

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

More information

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

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2776865543

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2776865543

Other Identifiers

ISSN

0020-9910

E-ISSN

1432-1297

DOI

10.1007/s00222-022-01159-0

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