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In this article, we will focus on a significance of Ben Amor’s result which reveals an important relationship between Orlicz norm and a capacitary estimate. We will derive a lower capacitary estimates from spectral analytic overviews based on the scheme and recent development of stochastic analytic schemes on the ends of a tree. In particular, as an application of our analytical approach, we will shed light on a capacitary estimate for singleton given as an end of the tree.

Capacitary estimate on the space of ends of tree based on Orlicz norm