Sparse domination for the lattice Hardy–Littlewood maximal operator
Journal Article
(2019)
DOI related publication
https://doi.org/10.1090/proc/14236
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Publication Year
2019
Language
English
Journal title
Proceedings of the American Mathematical Society
Issue number
1
Volume number
147
Pages (from-to)
271-284
Downloads counter
194
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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.