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Capacities in metric spaces

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Abstract

We discuss the potential theory related to the variational capacity and the Sobolev capacity on metric measure spaces. We prove our results in the axiomatic framework of [17].

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Authors and Affiliations

  1. Départment de Mathématiques, EPFL, CH-1015, Lausanne, Switzerland

    Marc Troyanov

  2. Departement of Mathematics, Ben Gurion University of The Negev, P.O. Box 653, 84105, Beer Sheva, Israel

    Vladimir Gol'dshtein

Authors
  1. Vladimir Gol'dshtein
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  2. Marc Troyanov
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46E35, 31C15, 31C45

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Gol'dshtein, V., Troyanov, M. Capacities in metric spaces. Integr equ oper theory 44, 212–242 (2002). https://doi.org/10.1007/BF01217533

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