Sparse domination for the lattice Hardy–Littlewood maximal operator

Journal article (2019)

Authors

Timo S. Hänninen Viikki Biocenter 1
E. Lorist Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2019 Timo S. Hänninen, E. Lorist
DOI
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https://doi.org/10.1090/proc/14236
Hardy-Littlewood maximal operator Sparse domination Banach lattice P-convexity Muckenhoupt weightsx
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Published Date

01-01-2019

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

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.