Sparse domination for the lattice Hardy–Littlewood maximal operator

Hänninen, Timo; Lorist, Emiel

doi:10.1090/proc/14236

Sparse domination for the lattice Hardy–Littlewood maximal operator
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by Timo S. Hänninen and Emiel Lorist PDF

Proc. Amer. Math. Soc. 147 (2019), 271-284 Request permission

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.

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