An approximation method for convolution Calderón-Zygmund operators
type: Item
instance of: scholarly article
title: An approximation method for convolution Calderón-Zygmund operators
zbMATH Open document ID: 1291.42017
DOI: 10.1155/2013/572967
author: Yunxia Yu
author: Zhanying Yang
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We present an approximation method for convolution Calderón-Zygmund operators. We give a uniform approximation accuracy of the operators on the endpoint Triebel-Lizorkin space \(\dot{F}_1^{0;q}(2<q<\infty<)\). Our proof mainly relies on the \(n\)-dimensional Daubechies wavelet bases and the atomic-molecular approach.
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 6307010
Wikidata QID: Q58917144
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/572967
OpenAlex ID: W2095499732
cites work: Fast wavelet transforms and numerical algorithms I
cites work: BCR algorithm and the \(T(b)\) theorem
cites work: Blocking analysis and \(T(1)\) theorem
cites work: Fast Wavelet Based Algorithms for Linear Evolution Equations
cites work: Biorthogonal wavelets for fast matrix computations
cites work: Wavelet decomposition of Calderón-Zygmund operators on function spaces
cites work: CONTINUITY OF CALDERÓN–ZYGMUND OPERATORS ON BESOV OR TRIEBEL–LIZORKIN SPACES
cites work: The Use of Wavelets in the Operator Expansion Method for Time-Dependent Acoustic Obstacle Scattering
cites work: Q5065001
cites work: Q5319582
cites work: Theory of function spaces
cites work: A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions
cites work: Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
cites work: Wavelet bases and entropy numbers in weighted function spaces
cites work: Q4855897
cites work: Boundedness of convolution-type operators on certain endpoint Triebel-Lizorkin spaces
description: scientific article; zbMATH DE number 6307010