On Sobolev-type Inequalities on Morrey Spaces of an Integral Form

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چکیده

We prove Sobolev-type inequalities for modified Riesz potentials of functions in Morrey spaces an integral form over non-doubling metric measure spaces. Our results are new even the doubling setting. In particular, our extend previous Euclidean case.

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ژورنال

عنوان ژورنال: Taiwanese Journal of Mathematics

سال: 2022

ISSN: ['1027-5487', '2224-6851']

DOI: https://doi.org/10.11650/tjm/220203