Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces

Eiichi Nakai and Yoshihiro Sawano
Additional contact information
Eiichi Nakai: Department of Mathematics, Ibaraki University, Mito 310-8512, Ibaraki, Japan
Yoshihiro Sawano: Department of Mathematics, Chuo University, 1-13-27, Kasuga 112-8551, Bunkyo, Japan

Mathematics, 2021, vol. 9, issue 21, 1-18

Abstract: 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.

Keywords: pointwise multipliers; Morrey spaces; block spaces; convexification (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/21/2754/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/21/2754/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:21:p:2754-:d:668207

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().