Trudinger-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form
DOI:
https://doi.org/10.7146/math.scand.a-129245Abstract
Our aim in this paper is to give Trudinger-type inequalities for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces. Our result are new even for the doubling metric measure setting. As a corollary, we give Trudinger-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form in the framework of double phase functions with variable exponents.
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