A type 2 inequality for functions of bounded variation
type: Item
instance of: scholarly article
title: A type 2 inequality for functions of bounded variation
zbMATH Open document ID: 0637.60011
DOI: 10.1016/0047-259X(88)90101-7
author: Asad Zaman
published in: Journal of Multivariate Analysis
publication date: 1988-01-01T00:00:00Z
review text: It is proved that the identity map from the functions of bounded variation of \({\mathbb{R}}^ k\) with the total variation norm to the same set of functions with the sup norm is of type 2. As the author says, ``since obtaining Theorem 1, the author has learned that an elegant and more general result has recently been obtained by \textit{G. Pisier}, Ann. Inst. Henri Poincaré, Probab. Stat. 20, 287-298 (1984; Zbl 0555.60005).
Mathematics Subject Classification ID: 60B12
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 4038887
zbMATH Keywords: functions of bounded variation
zbMATH Keywords: total variation norm
reviewed by: Evarist Giné
MaRDI profile type: Publication
cites work: Q3906818
cites work: Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters
cites work: Central limit theorems for C(S)-valued random variables
cites work: Asymptotic theory of nonlinear least squares estimation
cites work: Remarques sur les classes de Vapnik-Červonenkis
description: scientific article; zbMATH DE number 4038887