A generalization of the Carleson lemma and weighted norm inequalities for the maximal functions in the Orlicz setting
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Date
2020-05-22
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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.
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Research Article
Keywords
Carleson sequence, Maximal function, Weight, off-diagonal, lemma, Orlicz