vix.ing · top · new · best · stats · spec

Nevanlinna counting functions and pull-back measures on maximal ideal space of H^∞

2022/04/24 by Gao, Yong-Xin, Liang, Yuxia, Zhou, Ze-Hua
#30H05 #46J15 #47B33 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2204.11226

Abstract

In this paper we give precise characterizations of the relation between the Nevanlinna counting function and pull-back measure of an analytic self-map of the unit disk near the boundary. We show that it is quite worth considering these two concepts on the maximal ideal space of the bounded analytic functions.

Related