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Adam Osekowski and
Mateusz Rapicki
Sharp weighted inequalities for harmonic maximal operators
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| Published: |
January 18, 2022. |
| Keywords: |
Maximal, dyadic, Bellman function, best constants. |
| Subject: |
Primary: 42B25. Secondary: 46E30, 60G42. |
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Abstract
The paper contains the proof of sharp weighted Lp inequalities for the harmonic maximal function in the dyadic context. The argumentation exploits the Bellman function technique: the estimates follow from the existence of certain special functions enjoying appropriate size conditions and concavity. The results hold true in the more general setting of probability spaces equipped with a tree-like structure.
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| Acknowledgements
Adam Osekowski is supported by NCN grant DEC-2014/14/E/ST1/00532 and Mateusz Rapicki is supported by NCN grant 2018/29/N/ST1/02840.
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| Author information
Adam Osekowski:
Faculty of Mathematics, Informatics and Mechanics
University of Warsaw
Banacha 2, 02-097 Warsaw, Poland
A.Osekowski@mimuw.edu.pl
Mateusz Rapicki:
Faculty of Mathematics, Informatics and Mechanics
University of Warsaw
Banacha 2, 02-097 Warsaw, Poland
M.Rapicki@mimuw.edu.pl
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