Sparse domination for the lattice Hardy–Littlewood maximal operator
Journal Article
(2019)
Research Group
Analysis
Copyright
© 2019 Timo S. Hänninen, E. Lorist
DOI related publication
https://doi.org/10.1090/proc/14236
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https://resolver.tudelft.nl/uuid:b239bd9c-5b17-4177-a6a8-fce01ee44d67
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Publication Year
2019
Language
English
Copyright
© 2019 Timo S. Hänninen, E. Lorist
Research Group
Analysis
Issue number
1
Volume number
147
Pages (from-to)
271-284
Reuse Rights
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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.