Sparse domination for the lattice Hardy–Littlewood maximal operator

Timo S. Hänninen, Emiel Lorist

Research output: Contribution to journalArticleScientificpeer-review

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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 languageEnglish
Pages (from-to)271-284
Number of pages14
JournalProceedings of the American Mathematical Society
Volume147
Issue number1
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Banach lattice
  • Hardy-Littlewood maximal operator
  • Muckenhoupt weightsx
  • p-convexity
  • Sparse domination

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