Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces

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 fir...

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Autores principales:	Eiichi Nakai, Yoshihiro Sawano
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	pointwise multipliers Morrey spaces block spaces convexification Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/d7ac321079f441e990267e926d6d6b5b
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id	oai:doaj.org-article:d7ac321079f441e990267e926d6d6b5b
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spelling	oai:doaj.org-article:d7ac321079f441e990267e926d6d6b5b2021-11-11T18:18:01ZSpaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces10.3390/math92127542227-7390https://doaj.org/article/d7ac321079f441e990267e926d6d6b5b2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2754https://doaj.org/toc/2227-7390The 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.Eiichi NakaiYoshihiro SawanoMDPI AGarticlepointwise multipliersMorrey spacesblock spacesconvexificationMathematicsQA1-939ENMathematics, Vol 9, Iss 2754, p 2754 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	pointwise multipliers Morrey spaces block spaces convexification Mathematics QA1-939
spellingShingle	pointwise multipliers Morrey spaces block spaces convexification Mathematics QA1-939 Eiichi Nakai Yoshihiro Sawano Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
description	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.
format	article
author	Eiichi Nakai Yoshihiro Sawano
author_facet	Eiichi Nakai Yoshihiro Sawano
author_sort	Eiichi Nakai
title	Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
title_short	Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
title_full	Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
title_fullStr	Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
title_full_unstemmed	Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
title_sort	spaces of pointwise multipliers on morrey spaces and weak morrey spaces
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/d7ac321079f441e990267e926d6d6b5b
work_keys_str_mv	AT eiichinakai spacesofpointwisemultipliersonmorreyspacesandweakmorreyspaces AT yoshihirosawano spacesofpointwisemultipliersonmorreyspacesandweakmorreyspaces
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Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces

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