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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Bonfiglioli, A., Cinti, C. The theory of energy for sub-Laplacians with an application to quasi-continuity. manuscripta math. 118, 283–309 (2005). https://doi.org/10.1007/s00229-005-0579-9
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DOI: https://doi.org/10.1007/s00229-005-0579-9