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On Trudinger-type Inequalities in Orlicz-Morrey Spaces of an Integral Form
Published online by Cambridge University Press: 03 April 2020
Abstract
We give Trudinger-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces. Our results are new even for the doubling metric measure setting. In particular, our results improve and extend the previous results in Morrey spaces of an integral form in the Euclidean case.
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- © Canadian Mathematical Society 2020
Footnotes
R. Hurri-Syrjänen’s visit to Hiroshima University was supported by her grant from the Academy of Finland.