| Multilinear Calderón-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability |
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| 摘 要： | In this paper, we obtain that multilinear Calderón-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calderón-Zygmund operators is also considered.
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Multilinear Calderón-Zygmund Op erators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smo othness and Integrability |
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| Hu Yuan-zhu,Xu Jing-shi. Multilinear Calderón-Zygmund Op erators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smo othness and Integrability[J]. Communications in Mathematical Research, 2017, 33(3). DOI: 10.13447/j.1674-5647.2017.03.05 |
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| Authors: | Hu Yuan-zhu Xu Jing-shi |
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| Affiliation: | School of Mathematics and Statistics, Hainan Normal University, Haikou, 571158 |
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| Abstract: | In this paper, we obtain that multilinear Calderón-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of mul-tilinear Calderón-Zygmund operators is also considered. |
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| Keywords: | multilinear Calderón-Zygmund operator variable exponent Herz-Morrey space vector valued estimate |
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