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pro vyhledávání: '"Cavina, Michelangelo"'
Autor:
Cavina, Michelangelo
In this work we prove formulas of quasi-additivity for the capacity associated to kernels of radial type in the setting of the boundary of a tree structure and in the setting of compact Ahlfors-regular spaces. We also define a notion of harmonic exte
Externí odkaz:
http://arxiv.org/abs/2312.08297
Autor:
Cavina, Michelangelo
In this note we analyze the Caffarelli-Silvestre extension function using tools from the theory of stochastic analysis applied to Dirichlet problems. We use a stochastic approach to give the explicit formulation of the kernel associated to the Dirich
Externí odkaz:
http://arxiv.org/abs/2310.01070
Autor:
Cavina, Michelangelo
In this article we use the Bellman function technique to characterize the measures for which the weighted Hardy's inequality holds on dyadic trees. We enunciate the (dual) Hardy's inequality over the dyadic tree and we use the associated "Burkholder-
Externí odkaz:
http://arxiv.org/abs/2002.07532