A generalization of the Carleson lemma and weighted norm inequalities for the maximal functions in the Orlicz setting

No Thumbnail Available

Date

2020-05-22

Journal Title

Journal ISSN

Volume Title

Publisher

Journal of Mathematical Analysis and Applications

Abstract

In this note we introduce the notion of Φ-Carleson sequence for Φa convex growth function and provide an equivalent characterization that is an extension of the off-diagonal Carleson embedding lemma. We apply this result to obtain Sawyer-type characterization and two-weight norm estimates for some maximal functions between different Orlicz spaces.

Description

Research Article

Keywords

Carleson sequence, Maximal function, Weight, off-diagonal, lemma, Orlicz

Citation

Endorsement

Review

Supplemented By

Referenced By