Weighted maximal inequalities for the Haar system

The paper contains the study of weighted maximal L p -inequalities for the Haar system, with the optimal dependence on the characteristics of the weights involved. The proofs exploit certain special functions, enjoying appropriate size conditions and concavity.

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Bibliographic Details
Published in:Monatshefte für Mathematik 2018-06, Vol.186 (2), p.321-336
Main Author: Osękowski, Adam
Format: Article
Language:English
Subjects:
Concavity
Dependence
Inequalities
Mathematics
Mathematics and Statistics
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Description
Summary:The paper contains the study of weighted maximal L p -inequalities for the Haar system, with the optimal dependence on the characteristics of the weights involved. The proofs exploit certain special functions, enjoying appropriate size conditions and concavity.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-018-1184-9