GENERALIZED STUMMEL CLASS AND MORREY SPACES OF NONHOMOGENEOUS TYPE

Wono Setya Budhi; Idha Sihwaningrum; Yudi Soeharyadi

doi:10.22342/jims.20.2.187.141-147

Wono Setya Budhi ⁽¹⁾ , Idha Sihwaningrum ⁽²⁾ , Yudi Soeharyadi ⁽³⁾

(1) Bandung Institute of Technology, Indonesia,

(2) Jenderal Soedirman University, Indonesia,

(3) Bandung Institute of Technology, Indonesia

https://doi.org/10.22342/jims.20.2.187.141-147

Issue
Volume 20 Number 2 (October 2014)

Submitted
October 24, 2014

Published
October 25, 2014

Keywords:

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

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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

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Authors

Wono Setya Budhi

Bandung Institute of Technology

wono@math.itb.ac.id (Primary Contact)

Idha Sihwaningrum

Jenderal Soedirman University

Yudi Soeharyadi

Bandung Institute of Technology

Author Biography

Wono Setya Budhi, Bandung Institute of Technology

Budhi, W. S., Sihwaningrum, I., & Soeharyadi, Y. (2014). GENERALIZED STUMMEL CLASS AND MORREY SPACES OF NONHOMOGENEOUS TYPE. Journal of the Indonesian Mathematical Society, 20(2), 141–147. https://doi.org/10.22342/jims.20.2.187.141-147