一类Calderón-Zygmund算子在Besov空间上的连续性

数学季刊 ›› 2011, Vol. 26 ›› Issue (4): 530-534.

一类Calderón-Zygmund算子在Besov空间上的连续性

Department of Mathematics, South-Central University for Nationalities

收稿日期:2008-12-24 出版日期:2011-12-30 发布日期:2023-04-13
作者简介:YANG Zhan-ying(1980-), female, native of Zhoukou, Henan, a lecturer of South-Central University for Nationalities, Ph.D., engages in harmonic analysis and wavelet analysis.
基金资助:
Supported by the Special Fund for Basic Scientific Research of Central Colleges, South-Central University for Nationalities(ZZQ10010)； Supported by the Fund for the Doctoral Program of Higher Education(20090141120010)；

Continuity of a Class of Calder´on-Zygmund Operators on Certain Besov Spaces

Department of Mathematics, South-Central University for Nationalities

Received:2008-12-24 Online:2011-12-30 Published:2023-04-13
About author:YANG Zhan-ying(1980-), female, native of Zhoukou, Henan, a lecturer of South-Central University for Nationalities, Ph.D., engages in harmonic analysis and wavelet analysis.
Supported by:
Supported by the Special Fund for Basic Scientific Research of Central Colleges, South-Central University for Nationalities(ZZQ10010)； Supported by the Fund for the Doctoral Program of Higher Education(20090141120010)；

摘要/Abstract

摘要： In this paper, we introduce a class of non-convolution-type Calderón-Zygmund operators, whose kernels are certain sums involving the products of the Daubechies wavelets and their convolutions. And we obtain the continuity on the Besov spaces B^0,q_p(1 ≤ p, q ≤∞), which is mainly dependent on the properties of the Daubechies wavelets and Lemari’s T1 theorem for Besov spaces.

关键词: Calder′on-Zygmund operators, Besov spaces, Daubechies wavelets

Abstract: In this paper, we introduce a class of non-convolution-type Calderón-Zygmund operators, whose kernels are certain sums involving the products of the Daubechies wavelets and their convolutions. And we obtain the continuity on the Besov spaces B^0,q_p(1 ≤ p, q ≤∞), which is mainly dependent on the properties of the Daubechies wavelets and Lemari’s T1 theorem for Besov spaces.

Key words: Calder′on-Zygmund operators, Besov spaces, Daubechies wavelets

中图分类号:

O177

杨占英. 一类Calderón-Zygmund算子在Besov空间上的连续性[J]. 数学季刊, 2011, 26(4): 530-534.

YANG Zhan-ying. Continuity of a Class of Calder´on-Zygmund Operators on Certain Besov Spaces[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 530-534.

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