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.

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