Affiliation:
1. Faculty of Education Oita University Oita City Japan
2. Department of Mathematics Graduate School of Humanities and Social Sciences Hiroshima University Higashi‐Hiroshima Japan
Abstract
AbstractWe study Trudinger‐type inequalities for variable Riesz potentials of functions in Musielak–Orlicz–Morrey spaces over bounded metric measure spaces. As a good example, we obtain Trudinger‐type inequalities for double‐phase functionals . As an application, we introduce Musielak–Orlicz–Morrey–Hajłasz–Sobolev spaces and give Trudinger‐type inequalities for Sobolev functions.