Pointwise multiplier in Orlicz-Morrey spaces
Ifronika, Denny Ivanal Hakim, M. Wono Setya Budhi

Institut Teknologi Bandung

Abstract

We consider inclusion results between some Orlicz-Morrey spaces and the spaces of pointwise multiplication operators on other Orlicz-Morrey spaces. We prove that the multiplication operators are bounded from an Orlicz-Morrey spaces to another Orlicz-Morrey space under certain assumptions. We also show that a pointwise multiplier can be recognized as a member of an Orlicz-Morrey space. Our results can be seen as a generalization of those on Morrey spaces.

Keywords: Morrey Spaces, Orlicz-Morrey spaces, Pointwise multiplier

Topic: Minisymposia Fourier Analysis and Integral Operators