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• W2904600356 abstract "We introduce a natural extension of the Riesz potentials to quasi-metric measure spaces with an upper doubling measure. In particular, these operators are defined when the underlying space has components of differing dimensions. We study the behavior of the potential on classical and variable exponent Lebesgue spaces, obtaining necessary and sufficient conditions for its boundedness. The technique we use relies on a geometric property of the measure of the balls which holds both in the doubling and non-doubling situations, and allows us to present our results in a unified way." @default.
• W2904600356 created "2018-12-22" @default.
• W2904600356 creator A5013805264 @default.
• W2904600356 creator A5018199093 @default.
• W2904600356 date "2017-08-18" @default.
• W2904600356 modified "2023-09-24" @default.
• W2904600356 title "A unified point of view on boundedness of Riesz type potentials" @default.
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• W2904600356 doi "https://doi.org/10.33044/revuma.v59n1a05" @default.
• W2904600356 hasPublicationYear "2017" @default.
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