Geodesic
Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 263-276

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Our aim is to give Sobolev-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces as an extension of T. Ohno, T. Shimomura (2022). Our results are new even for the doubling metric measure spaces.
DOI : 10.21136/CMJ.2022.0149-22
Classification : 46E30, 46E35
Keywords: Riesz potential; Sobolev's inequality; Orlicz-Morrey space; metric measure space; non-doubling measure 
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     title = {Riesz potentials and {Sobolev-type} inequalities in {Orlicz-Morrey} spaces of an integral form},
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Ohno, Takao; Shimomura, Tetsu. Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 263-276. doi: 10.21136/CMJ.2022.0149-22

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