The fine structure of the \(n\)-widths of \(H^ p\)-spaces in \(L_ q(-1,1)\)
type: Item
instance of: scholarly article
title: The fine structure of the \(n\)-widths of \(H^ p\)-spaces in \(L_ q(-1,1)\)
zbMATH Open document ID: 0848.41019
author: Klaus Wilderotter
published in: Journal of Complexity
publication date: 1996-10-21T00:00:00Z
review text: Let \(\Delta \subset \mathbb{C}\) be the open unit disk. The precise asymptotic behaviour of the Kolmogorov, Gel'fand, and linear \(n\)-widths of the unit ball of the Hardy space \(H^p (\Delta)\) in \(L_p (-1, 1)\) for \(1\leq q< p\leq \infty\) are determined. This result extends estimates previously obtained by \textit{H. G. Burchard} and \textit{K. Höllig} [SIAM J. Math. Anal. 16, 405-421 (1985; Zbl 0554.41030)] and by the author [J. Complexity 8, No. 3, 324-335 (1992; Zbl 0803.46056)].
reviewed by: Manfred Tasche
Mathematics Subject Classification ID: 41A46
Mathematics Subject Classification ID: 46J15
Mathematics Subject Classification ID: 30D55
zbMATH DE Number: 850551
zbMATH Keywords: linear \(n\)-widths
MaRDI profile type: Publication
full work available at URL: jcom.1995.1023
OpenAlex ID: W2092066036
DOI: 10.1006/JCOM.1995.1023
description: scientific article; zbMATH DE number 850551