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 |
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Pages (from-to) | 271-284 |
Number of pages | 14 |
Journal | Proceedings of the American Mathematical Society |
Volume | 147 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2019 |
Keywords
- Banach lattice
- Hardy-Littlewood maximal operator
- Muckenhoupt weightsx
- p-convexity
- Sparse domination