GENERALIZED STUMMEL CLASS AND MORREY SPACES OF NONHOMOGENEOUS TYPE

Wono Setya Budhi, Idha Sihwaningrum, Yudi Soeharyadi


Abstract


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


Keywords


Generalized Stummel class, generalized Morrey spaces, spaces of nonhomogeneous type.

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p-ISSN:2086-8952e-ISSN:2460-0245