Orlicz norm and sobolev-Orlicz capacity on ends of tree based on probabilisitic Bessel kernels

Orlicz norm and sobolev-Orlicz capacity on ends of tree based on probabilisitic Bessel kernels
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基于概率贝塞尔核的树端 Orlicz 范数和 sobolev-Orlicz 容量

DOI:
10.1134/s2070046615010033
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发表时间:
2015
期刊:
p-adic numbers ultrametric analysis, and applications
影响因子:
--
通讯作者:
Hisaaki Matsumoto
Hisaaki Matsumoto
中科院分区:
--
文献类型:
--
作者:
Chaiki Hara;Ryutaro Iijima;Hiroshi Kaneko;Hisaaki Matsumoto

文献摘要

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在本文中,我们将利用贝塞尔核的概率对应部分并定义树末端的 Sobolev-Orlicz 容量。这些程序使我们能够根据树端随机分析方案的最新发展,从光谱分析概述中得出电容估计。更具体地说,我们将重点关注作为结束给出的单例的容量估计。
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.