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# Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

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1572-9176
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# Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces

Yoshihiro Sawano
• Corresponding author
• Department of Mathematics, and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo 192-0397, Japan
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• Other articles by this author:
/ Tetsu Shimomura
• Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan
• Email
• Other articles by this author:
Published Online: 2018-11-21 | DOI: https://doi.org/10.1515/gmj-2018-0068

## Abstract

The 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.

MSC 2010: 42B35; 26A33

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Revised: 2017-07-14

Accepted: 2017-07-31

Published Online: 2018-11-21

Funding Source: Japan Society for the Promotion of Science London

Award identifier / Grant number: 16K05209

Funding Source: Japan Society for the Promotion of Science

Award identifier / Grant number: 15K04929

The first author is supported by Grant-in-Aid for Scientific Research (C) (16K05209). The second author is supported by Grant-in-Aid for Scientific Research (C) (15K04929).

Citation Information: Georgian Mathematical Journal, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X,

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