Bw u-function Spaces and Their Interpolation

Eiichi Nakai, Takuya Sobukawa

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We introduce Bw u-function spaces which unify Lebesgue, Morrey-Campanato, Lipschitz, Bp, CMO, local Morrey-type spaces, etc., and investigate the interpolation property of Bw u-function spaces. We also apply it to the boundedness of linear and sublinear operators, for example, the Hardy-Littlewood maximal and fractional maximal operators, singular and fractional integral operators with rough kernel, the Littlewood-Paley operator, Marcinkiewicz operator, and so on.

Original languageEnglish
Pages (from-to)483-516
Number of pages34
JournalTokyo Journal of Mathematics
Volume39
Issue number2
Publication statusPublished - 2016 Dec 1

Keywords

  • B-space
  • BMO
  • Campanato space
  • CMO
  • Fractional integral operator
  • Hardy-Littlewood maximal operator
  • Interpolation
  • Morrey spaces
  • Singular integral operator

ASJC Scopus subject areas

  • Mathematics(all)

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