On Trudinger-type inequalities in Musielak–Orlicz–Morrey spaces of an integral form over metric measure spaces
Takao Ohno
Oita University, Oita, JapanTetsu Shimomura
Hiroshima University, Higashi-Hiroshima, Japan
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Abstract
We establish Trudinger-type inequalities for variable Riesz potentials of functions in Musielak–Orlicz–Morrey spaces of an integral form over metric measure spaces . As an application and example, we give Trudinger’s inequality for double-phase functionals with variable exponents. Finally, we prove the result for Sobolev functions satisfying a Poincaré inequality in .
Cite this article
Takao Ohno, Tetsu Shimomura, On Trudinger-type inequalities in Musielak–Orlicz–Morrey spaces of an integral form over metric measure spaces. Z. Anal. Anwend. (2024), published online first
DOI 10.4171/ZAA/1766