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

*この研究の対応する著者

研究成果: Article査読

抄録

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.

本文言語English
ジャーナルGeorgian Mathematical Journal
DOI
出版ステータスAccepted/In press - 2019

ASJC Scopus subject areas

  • 数学 (全般)

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