A remark on the paper"Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents" by Kwok Pun Ho

Naoya Hatano, Toru Nogayama, Yoshihiro Sawano

Research output: Contribution to journalArticlepeer-review

Abstract

Our goal of this paper is to show that Ho's vector-valued Morrey spaces can be realized as a special case of pointwise multiplier spaces. This extends Lemarié- Rieusset's theorem. One cannot extend his theorem directly, because we are handling Banach lattices instead of Lebesgue spaces. It turns out that mixed Morrey spaces, Lorentz-Morrey spaces, and Orlicz-Morrey spaces fall under the scope of the framework in this paper. This work can be located as a continuation of the huge study of multiplier spaces collected in the book of Maz'ya.

Original languageEnglish
Pages (from-to)357-375
Number of pages19
JournalKyoto Journal of Mathematics
Volume62
Issue number2
DOIs
Publication statusPublished - Jun 2022
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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