Complex interpolation of the predual of Morrey spaces over measure spaces

Victor I. Burenkov, Denny I. Hakim, Eiichi Nakai, Yoshihiro Sawano, Takuya Sobukawa, Tamara V. Tararykova

Research output: Contribution to journalArticle

Abstract

We prove that block spaces defined on Rn with an arbitrary Radon measure, which are known to be the preduals of Morrey spaces, are closed under the first and the second complex interpolation method. The proof of our main theorem uses the duality theorem in the complex interpolation method, the complex interpolation of certain closed subspaces of Morrey spaces, a characterization of the preduals of block spaces, and some formulas related to the Calderón product.

Original languageEnglish
JournalGeorgian Mathematical Journal
DOIs
Publication statusAccepted/In press - 2019

Keywords

  • block spaces
  • complex interpolation method
  • Morrey spaces
  • preduals of Morrey spaces

ASJC Scopus subject areas

  • Mathematics(all)

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