Sparse domination for the lattice Hardy–Littlewood maximal operator

Journal article (2019)

Authors

Timo S. Hänninen Viikki Biocenter 1
E. Lorist Analysis
Research Group
Analysis
Copyright: © 2019 Timo S. Hänninen, E. Lorist
DOI: https://doi.org/10.1090/proc/14236
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Published Date

01-01-2019

Language

English

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Research Group

Analysis

Abstract

We study the domination of the lattice Hardy–Littlewood maximal operator by sparse operators in the setting of general Banach lattices. We prove that the admissible exponents of the dominating sparse operator are determined by the q-convexity of the Banach lattice.

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