Boundary values of harmonic Bloch functions in Lipschitz domains: A martingale approach
type: Item
instance of: scholarly article
title: Boundary values of harmonic Bloch functions in Lipschitz domains: A martingale approach
zbMATH Open document ID: 0924.31004
DOI: 10.1023/A:1008655312464
published in: Potential Analysis
publication date: 1999-06-10T00:00:00Z
review text: The author extends some results on the boundary behaviour of analytic Bloch functions in the unit disk, to the case of Lipschitz domains in higher dimensions. The principal tool is to assign to any harmonic Bloch function in a Lipschitz domain a dyadic martingale with respect to harmonic measure. Some of the classical results, extended to this case, are direct consequences of their martingale counterparts.
Mathematics Subject Classification ID: 31B25
Mathematics Subject Classification ID: 60G42
Mathematics Subject Classification ID: 30D45
zbMATH DE Number: 1269773
zbMATH Keywords: Lipschitz domain
zbMATH Keywords: Bloch function
zbMATH Keywords: harmonic measure
zbMATH Keywords: martingale
author: José G. Llorente
reviewed by: Liliana Popa
MaRDI profile type: Publication
full work available at URL: a:1008655312464
OpenAlex ID: W113944019
description: scientific article; zbMATH DE number 1269773