Complex interpolation of -spaces

Denny Ivanal Hakim, Shohei Nakamura, Yoshihiro Sawano, Takuya Sobukawa

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The upper and lower complex interpolation of BuW(Lp)-spaces and BuW(Mpq)-spaces are considered. When u0, u1 and u are finite, we prove that [Bu0w0(Lp0), Bu1w1(Lp1)]θ = [Bu0w0(Lp0), Bu1W1(Lp1)]θ = BuW(Lp). Otherwise, the space [Bu0w0(Lp0), Bu1w1(Lp1)]θ is a closed subspace of BuW(Lp). We also establish interpolation results of certain closed subspaces of BuW(Lp)-spaces and BuW(Mpq)-spaces, which are the closure of linear subspaces satisfying the lattice condition.

Original languageEnglish
Pages (from-to)569-590
Number of pages22
JournalComplex Variables and Elliptic Equations
Volume63
Issue number4
DOIs
Publication statusPublished - 2018 Apr 3

Keywords

  • complex interpolation
  • spaces

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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