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All Journal Journal of the Indonesian Mathematical Society
Wono Setya Budhi
Bandung Institute of Technology
Mathematics

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GENERALIZED STUMMEL CLASS AND MORREY SPACES OF NONHOMOGENEOUS TYPE Budhi, Wono Setya; Sihwaningrum, Idha; Soeharyadi, Yudi
Journal of the Indonesian Mathematical Society Volume 20 Number 2 (October 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.2.187.141-147

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
Pointwise Multipliers of Orlicz-Morrey Spaces Ifronika, Ifronika; Hakim, Denny Ivanal; Budhi, Wono Setya
Journal of the Indonesian Mathematical Society Vol. 31 No. 4 (2025): DECEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i4.1965

Abstract

We investigate the space of pointwise multipliers of Orlicz-Morrey spaces. Using the H\"older inequality in Orlicz-Morrey spaces, we prove that the space of pointwise multipliers of Orlicz-Morrey spaces contains an Orlicz-Morrey space. We also prove a partial reverse inclusion of this result. In addition, we des\-cribe the space of pointwise multipliers of Orlicz-Morrey spaces by adding some growth conditions on Young functions. Our results can be viewed as an extension of the results on pointwise multipliers of Morrey spaces.
Co-Authors Hakim, Denny Ivanal Idha Sihwaningrum Ifronika, Ifronika Yudi Soeharyadi