Sparse domination for the lattice Hardy-Littlewood maximal operator
Classical Analysis and ODEs
2019-08-07 v2
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 -convexity of the Banach lattice.
Keywords
Cite
@article{arxiv.1712.02592,
title = {Sparse domination for the lattice Hardy-Littlewood maximal operator},
author = {Timo S. Hänninen and Emiel Lorist},
journal= {arXiv preprint arXiv:1712.02592},
year = {2019}
}
Comments
14 pages, improved presentation