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

The Boundedness of Composition Operators on Triebel–Lizorkin and Besov Spaces with Different Homogeneities
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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 Calder′on–Zygmund singular integral operators with different homogeneities on these Triebel–Lizorkin and Besov spaces. 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 Calder′on–Zygmund singular integral operators with different homogeneities on these Triebel–Lizorkin and Besov spaces.
作者 Wei DING
机构地区 School of Mathematical Sciences
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第6期933-948,共16页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China(Grant Nos.11271209 and 11371056)
关键词 Singular integral Triebel–Lizorkin spaces Besov spaces discrete Calderon＇s identity almost orthogonality estimates Singular integral,Triebel–Lizorkin spaces,Besov spaces,discrete Calderon＇s identity,almost orthogonality estimates
分类号 O177 [理学—基础数学]
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Acta Mathematica Sinica,English Series
2014年 第6期

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