Sequence spaces and stability of integer translates
type: Item
instance of: scholarly article
title: Sequence spaces and stability of integer translates
zbMATH Open document ID: 0801.46006
DOI: 10.4171/ZAA/547
author: Qiyu Sun
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1993-10-20T00:00:00Z
review text: Summary: We introduce sequence spaces of Triebel-Lizorkin type, especially Hardy spaces and bounded mean oscillation spaces. We establish \(F_ p^{\alpha q}\)-stability of integer translates of general distributions which extends the results of [\textit{R. Q. Jia}, \textit{C. A. Micchelli}, Pap. Int. Conf., Chamonix-Mont-Blanc/Fr 1990, 209-246 (1991; Zbl 0777.41013) \textit{R. Q. Jia}, \textit{J.-Z. Wang}, Proc. Am. Math. Soc. 117, No. 4, 1115-1124 (1993; Zbl 0770.42018)] to general distributions. Also the corresponding David-Journé theorem for sequences is established.
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 428229
zbMATH Keywords: wavelet
zbMATH Keywords: multiresolution analysis
zbMATH Keywords: stability of integer translates of general distributions
zbMATH Keywords: sequence spaces of Triebel-Lizorkin type
zbMATH Keywords: Hardy spaces
zbMATH Keywords: bounded mean oscillation spaces
zbMATH Keywords: David-Journé theorem for sequences
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/547
OpenAlex ID: W2529254613
description: scientific article; zbMATH DE number 428229