Inclusion properties of generalized Morrey spaces

This paper discusses the structure of Morrey spaces, weak Morrey spaces, generalized Morrey spaces, and generalized weak Morrey spaces. Some necessary and sufficient conditions for the inclusion property of these spaces are obtained through a norm estimate for the characteristic functions of balls.

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Bibliographic Details
Published in:Mathematische Nachrichten 2017-02, Vol.290 (2-3), p.332-340
Main Authors: Gunawan, Hendra, Hakim, Denny I., Limanta, Kevin M., Masta, Al A.
Format: Article
Language:English
Subjects:
42B35
46E30
generalized Morrey spaces
inclusion properties
Morrey spaces
weak Morrey spaces
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Summary:This paper discusses the structure of Morrey spaces, weak Morrey spaces, generalized Morrey spaces, and generalized weak Morrey spaces. Some necessary and sufficient conditions for the inclusion property of these spaces are obtained through a norm estimate for the characteristic functions of balls.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201500425