Sparse domination for the lattice Hardy-Littlewood maximal operator

17 Apr 2018  ·  Hänninen Timo S., Lorist Emiel ·

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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Classical Analysis and ODEs