Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces

Mathematics

Yoshihiro Sawano¹  Eiichi Nakai² 

[1] Department of Mathematics, Chuo University, 1-13-27, Kasuga 112-8551, Bunkyo, Japan;Department of Mathematics, Ibaraki University, Mito 310-8512, Ibaraki, Japan;

关键词: pointwise multipliers;    Morrey spaces;    block spaces;    convexification;   

DOI  :  10.3390/math9212754

来源: DOAJ

【 摘 要 】

The spaces of pointwise multipliers on Morrey spaces are described in terms of Morrey spaces, their preduals, and vector-valued Morrey spaces introduced by Ho. This paper covers weak Morrey spaces as well. The result in the present paper completes the characterization of the earlier works of the first author’s papers written in 1997 and 2000, as well as Lemarié-Rieusset’s 2013 paper. As a corollary, the main result in the present paper shows that different quasi-Banach lattices can create the same vector-valued Morrey spaces. The goal of the present paper is to provide a complete picture of the pointwise multiplier spaces.

【 授权许可】

Unknown