Abstract
In this article, we will take an advantage of probabilistic counterpart of the Bessel kernels and define Sobolev-Orlicz capacity on ends of a tree. These procedures enable us to derive capacitary estimates from a spectral analytic overview based on recent development of stochastic analytic schemes on the ends of tree. More specifically, we will focus on capacitary estimates for singleton given as an end.
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Hara, C., Iijima, R., Kaneko, H. et al. Orlicz norm and Sobolev-Orlicz capacity on ends of tree based on probabilistic Bessel kernels. P-Adic Num Ultrametr Anal Appl 7, 24–38 (2015). https://doi.org/10.1134/S2070046615010033
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DOI: https://doi.org/10.1134/S2070046615010033