Generalized Bessel and Riesz Potentials on Metric Measure Spaces |
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| Authors: | J. Hu M. Zähle |
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| Affiliation: | (1) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China;(2) Mathematical Institute, University of Jena, 07737 Jena, Germany |
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| Abstract: | We introduce generalized Bessel and Riesz potentials on metric measure spaces and the corresponding potential spaces. Estimates of the Bessel and Riesz kernels are given which reflect the intrinsic structure of the spaces. Finally, we state the relationship between Bessel (or Riesz) operators and subordinate semigroups. |
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| Keywords: | Bessel and Riesz potentials Heat kernel Potential space Subordinate semigroup |
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