Inclusion between generalized Stummel classes and other function spaces

We refine the definition of generalized Stummel classes and study inclusion properties of these classes. We also study the inclusion relation between Stummel classes and other function spaces such as generalized Morrey spaces, weak Morrey spaces, and Lorentz spaces. In addition, we show that these i...

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Bibliographic Details
Published in:arXiv.org 2018-10
Main Authors: Tumalun, Nicky K, Hakim, Denny I, Gunawan, Hendra
Format: Article
Language:English
Subjects:
Function space
Inclusions
Online Access:Get full text
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Summary:We refine the definition of generalized Stummel classes and study inclusion properties of these classes. We also study the inclusion relation between Stummel classes and other function spaces such as generalized Morrey spaces, weak Morrey spaces, and Lorentz spaces. In addition, we show that these inclusions are proper. Our results extend some previous results in \cite{CRR, RZ}.
ISSN:2331-8422