Smoothness of indicator functions of some sets in Wiener spaces
type: Item
instance of: scholarly article
title: Smoothness of indicator functions of some sets in Wiener spaces
zbMATH Open document ID: 0958.60055
DOI: 10.1016/S0021-7824(00)00155-0
author: Hélène Airault
author: Xicheng Zhang
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2000-10-29T00:00:00Z
review text: The authors prove the following result: Let \(A\) be a ball in the classical Wiener space defined by the sup-norm or the pseudo Sobolev norm, then \(\chi_A\in E^p_\alpha\) for \(p\alpha<1\) and \(\chi_A\notin E^p_\alpha\) for \(p\alpha>1\).
reviewed by: Stanisław Wedrychowicz
Mathematics Subject Classification ID: 60H07
zbMATH DE Number: 1522071
zbMATH Keywords: Wiener spaces
zbMATH Keywords: Sobolev norm
MaRDI profile type: Publication
full work available at URL: s0021-7824(00)00155-0
OpenAlex ID: W2080718437
description: scientific article; zbMATH DE number 1522071