The theory of energy for sub-Laplacians with an application to quasi-continuity |
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Authors: | Andrea Bonfiglioli Chiara Cinti |
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Affiliation: | (1) Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 5, 40126 Bologna, Italy |
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Abstract: | In this paper, we provide a suitable theory for the energy where μ is a Radon measure and Γ is the fundamental solution of a sub-Laplacian on a stratified group As a significant application, we prove the quasi-continuity of superharmonic functions related to . The proofs are elementary and mostly rely on the use of appropriate mean-value formulas and mean-integral operators relevant to the Potential Theory for . |
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Keywords: | Primary 31B10 31B15 Secondary 35J70 43A80 |
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