GENERALIZED STUMMEL CLASS AND MORREY SPACES OF NONHOMOGENEOUS TYPE

In the context of the spaces of nonhomogeneous type, in this paper we study a relation between the generalized Stummel class and the generalized Morrey spaces. The stummel class is a class of functions related to local behavior of mapping by fractional integral operators. Meanwhile, the generalized...

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Bibliographic Details
Published inJournal of the Indonesian Mathematical Society pp. 141 - 147
Main Authors Budhi, Wono Setya, Sihwaningrum, Idha, Soeharyadi, Yudi
Format Journal Article
LanguageEnglish
Published 25.10.2014
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Summary:In the context of the spaces of nonhomogeneous type, in this paper we study a relation between the generalized Stummel class and the generalized Morrey spaces. The stummel class is a class of functions related to local behavior of mapping by fractional integral operators. Meanwhile, the generalized Morrey spaces are classes of functions related to local behavior of Hardy-Littlewood maximal function. Our results employ the doubling condition of functions under consideration.DOI : http://dx.doi.org/10.22342/jims.20.2.187.141-147
ISSN:2086-8952
2460-0245
DOI:10.22342/jims.20.2.187.141-147