Pointwise Multipliers of Orlicz-Morrey Spaces

Ifronika Ifronika (1), Denny Ivanal Hakim (2), Wono Setya Budhi (3)
(1) Department of Mathematics, Institut Teknologi Bandung, Indonesia,
(2) Department of Mathematics, Institut Teknologi Bandung, Indonesia,
(3) Department of Mathematics, Institut Teknologi Bandung, Indonesia

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.

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Authors

Ifronika Ifronika
ifronika@gmail.com (Primary Contact)
Denny Ivanal Hakim
Wono Setya Budhi
Ifronika, I., Hakim, D. . I., & Budhi, W. S. (2025). Pointwise Multipliers of Orlicz-Morrey Spaces. Journal of the Indonesian Mathematical Society, 31(4), 1965. https://doi.org/10.22342/jims.v31i4.1965

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