Sharp Weak-Type (p, p) Estimates (1<p<∞) for Positive Dyadic Shifts

The paper contains the study of sharp weak-type estimates for positive dyadic shifts on R d . The proof exploits Bellman function method: the inequalities are deduced from the existence of certain associated special functions, enjoying appropriate majorization and concavity conditions.

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2021-04, Vol.18 (2), Article 44
Main Author: Osękowski, Adam
Format: Article
Language:English
Subjects:
Concavity
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
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Description
Summary:The paper contains the study of sharp weak-type estimates for positive dyadic shifts on R d . The proof exploits Bellman function method: the inequalities are deduced from the existence of certain associated special functions, enjoying appropriate majorization and concavity conditions.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-020-01655-8