Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent

Research output: Contribution to journalArticlespeer-review

13 Citations (Scopus)

Abstract

The family of block spaces with variable exponents is introduced. We obtain some fundamental properties of the family of block spaces with variable exponents. They are Banach lattices and they are generalizations of the Lebesgue spaces with variable exponents. Moreover, the block space with variable exponents is a pre-dual of the corresponding Morrey space with variable exponents. The main result of this paper is on the boundedness of the Hardy-Littlewood maximal operator on the block space with variable exponents. We find that the Hardy-Littlewood maximal operator is bounded on the block space with variable exponents whenever the Hardy-Littlewood maximal operator is bounded on the corresponding Lebesgue space with variable exponents. Copyright © 2014 Kluwer/Plenum Publishers.
Original languageEnglish
Pages (from-to)159-171
JournalCzechoslovak Mathematical Journal
Volume64
Issue number1
Early online dateAug 2014
DOIs
Publication statusPublished - 2014

Citation

Cheung, K. L., & Ho, K.-P. (2014). Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent. Czechoslovak Mathematical Journal, 64(1), 159-171.

Keywords

  • Block space
  • Variable exponent analysis
  • Hardy-Littlewood maximal operator

Fingerprint Dive into the research topics of 'Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent'. Together they form a unique fingerprint.