The Boundedness of Composition Operators on Triebel-Lizorkin and Besov Spaces with Different Homogeneities

Wei DING

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The Boundedness of Composition Operators on Triebel-Lizorkin and Besov Spaces with Different Homogeneities

机译：不同同质性Triebel-Lizorkin和Besov空间上组合算子的有界性

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摘要

In this paper, we introduce new Triebel-Lizorkin and Besov Spaces associated with the different homogeneities of two singular integral operators. We then establish the boundedness of composition of two Calderón-Zygmund singular integral operators with different homogeneities on these Triebel-Lizorkin and Besov spaces.

机译：在本文中，我们引入了与两个奇异积分算子的不同齐次性相关的新 Triebel-Lizorkin 和 Besov 空间。然后，我们建立了两个Calderón-Zygmund奇异积分算子的组成有界性，这些空间在Triebel-Lizorkin和Besov空间上具有不同的齐次性。

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来源
《Acta Mathematica Sinica. English Series》 |2014年第6期|933-948|共16页
作者
Wei DING;
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作者单位

School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Singular integral; Triebel-Lizorkin spaces; Besov spaces; discrete Calderón's identity; almost orthogonality estimates;

机译：奇异积分;Triebel-Lizorkin 空间;贝索夫空间;离散卡尔德隆的身份;几乎正交性估计;

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The Boundedness of Composition Operators on Triebel-Lizorkin and Besov Spaces with Different Homogeneities

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