Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces-Reference-Cited by-同舟云学术

Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces

Published:2020-09-01 Issue:3 Volume:27 Page:433-439
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Sawano Yoshihiro¹,Shimomura Tetsu²

Affiliation:

1. Department of Mathematics, and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo192-0397, Japan

2. Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima739-8524, Japan

Abstract

AbstractThe predual spaces of generalized grand Morrey spaces over non-doubling measure spaces are investigated. The case of the grand Lebesgue spaces is covered, which is also new. An example shows that the modification of Morrey spaces is essential.

Funder

Japan Society for the Promotion of Science London

Japan Society for the Promotion of Science

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/27/3/article-p433.xml

Reference64 articles.

1. Sobolev’s theorem for Riesz potentials of functions in grand Morrey spaces of variable exponent;Banach and Function Spaces IV—ISBFS 2012,2014

2. Duality and reflexivity in grand Lebesgue spaces;Collect. Math.,2000