An Approximation Method for Convolution Calderón-Zygmund Operators

Author:

Yu Yunxia1,Yang Zhanying23ORCID

Affiliation:

1. Department of Mathematics, Xinxiang University, Xinxiang 453003, China

2. Department of Mathematics, South-Central University for Nationalities, Wuhan 430074, China

3. Laboratoire de Mathématiques Raphaaël Salem, UMR 6085 CNRS-Université de Rouen, avenue de l'Université, BP 12, 76801 Saint-Etienne-du-Rouvray, France

Abstract

We present an approximation method for convolution Calderón-Zygmund operators. We give a uniform approximation accuracy of the operators on the endpoint Triebel-Lizorkin spaceF˙1 0;q   (2<q<). Our proof mainly relies on then-dimensional Daubechies wavelet bases and the atomic-molecular approach.

Funder

South-Central University for Nationalities

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

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