Sparse domination for the lattice Hardy–Littlewood maximal operator

Timo S. Hänninen; Emiel Lorist

doi:10.1090/proc/14236

Sparse domination for the lattice Hardy–Littlewood maximal operator

Timo S. Hänninen, Emiel Lorist

Analysis

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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.

Original language	English
Pages (from-to)	271-284
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue number	1
DOIs	https://doi.org/10.1090/proc/14236
Publication status	Published - 1 Jan 2019

Keywords

Banach lattice
Hardy-Littlewood maximal operator
Muckenhoupt weightsx
p-convexity
Sparse domination

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10.1090/proc/14236

1712.02592Accepted author manuscript, 172 KB

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Sparse domination for the lattice Hardy–Littlewood maximal operator

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Keywords

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