Sparse domination for the lattice Hardy-Littlewood maximal operator
arXiv:1712.02592 · doi:10.1090/proc/14236
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.
14 pages, improved presentation