| The Boundedness of Composition Operators on Triebel–Lizorkin and Besov Spaces with Different Homogeneities |
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| 基金项目： | Supported by National Natural Science Foundation of China(Grant Nos.11271209 and 11371056) |
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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.
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| 关 键 词： | Besov空间 均匀性 有界性 复合算子 奇异积分算子 |
The boundedness of composition operators on Triebel-Lizorkin and Besov Spaces with different homogeneities |
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| Wei Ding. The boundedness of composition operators on Triebel-Lizorkin and Besov Spaces with different homogeneities[J]. Acta Mathematica Sinica(English Series), 2014, 30(6): 933-948. DOI: 10.1007/s10114-014-3280-7 |
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| Authors: | Wei Ding |
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| Affiliation: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China
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| Abstract: | 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. |
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| Keywords: | Singular integral Triebel–Lizorkin spaces Besov spaces discrete Caldern＇s identity almost orthogonality estimates |
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