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

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Abstract In this note we introduce the notion of Φ-Carleson sequence for Φ a convex growth function and provide an equivalent characterization that is an extension of the off-diagonal Carleson… Click to show full abstract

Abstract In this note we introduce the notion of Φ-Carleson sequence for Φ a 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.

Keywords: maximal functions; lemma weighted; carleson; generalization carleson; carleson lemma

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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