Variable Exponent Lebesgue Spaces and Hardy-Littlewood Maximal Function on p-Adic Numbers

Leonardo Fabio Chacón-Cortés, Humberto Rafeiro

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper we introduce variable exponent Lebesgue spaces where the underlying space is the field of the p-adic numbers. We prove many properties of the spaces and also study the boundedness of the maximal operator as well as its application to convolution operators.

Original languageEnglish
Pages (from-to)90-111
Number of pages22
JournalP-Adic Numbers, Ultrametric Analysis, and Applications
Volume12
Issue number2
DOIs
Publication statusPublished - Apr 1 2020

Keywords

  • Hardy-Littlewood maximal over Q
  • p-adic analysis
  • variable exponent function spaces

ASJC Scopus subject areas

  • Mathematics(all)

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