Wavelet shrinkage estimators of Calderón-Zygmund operators with odd kernels
type: Item
instance of: scholarly article
title: Wavelet shrinkage estimators of Calderón-Zygmund operators with odd kernels
zbMATH Open document ID: 1309.65153
author: Heng Chen
author: Jitao Wu
published in: Science China. Mathematics
publication date: 2014-12-03T00:00:00Z
review text: Wavelet shrinkage is a strategy to obtain a nonlinear approximation to a given function \(f\) and is widely used in data compression, signal processing and statistics, etc. The authors construct an estimator of \(T f\), based on the wavelet shrinkage estimator of \(f\) for Calderón-Zygmund operators \(T\). The almost everywhere convergence and norm convergence of the proposed estimators are established.
reviewed by: Ilia V. Boikov
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 47A58
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 6376254
zbMATH Keywords: wavelets shrinkage
zbMATH Keywords: singular integral operator
zbMATH Keywords: non-standard form
zbMATH Keywords: maximal operator
zbMATH Keywords: Calderón-Zygmund operators
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s11425-013-4724-8
OpenAlex ID: W2261669693
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DOI: 10.1007/S11425-013-4724-8
description: scientific article; zbMATH DE number 6376254