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Volume 29, Issue 3
Boundedness of Multilinear Commutators with Rough Kernels on Morrey-Herz Spaces

S. P. Tao & Q. N. Li

Anal. Theory Appl., 29 (2013), pp. 289-307.

Published online: 2013-07

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  • Abstract

This paper is concerning the commutators generated by the multilinear singular integral with rough kernels and BMO functions. The boundedness of the multilinear commutators $T_{\vec{b}}(\vec{f})$ is established on the Morrey-Herz space by using the John-Nirenberg inequality.

  • AMS Subject Headings

42B25, 42B35

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COPYRIGHT: © Global Science Press

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@Article{ATA-29-289, author = {S. P. Tao and Q. N. Li}, title = {Boundedness of Multilinear Commutators with Rough Kernels on Morrey-Herz Spaces}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {3}, pages = {289--307}, abstract = {

This paper is concerning the commutators generated by the multilinear singular integral with rough kernels and BMO functions. The boundedness of the multilinear commutators $T_{\vec{b}}(\vec{f})$ is established on the Morrey-Herz space by using the John-Nirenberg inequality.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n3.9}, url = {http://global-sci.org/intro/article_detail/ata/5065.html} }
TY - JOUR T1 - Boundedness of Multilinear Commutators with Rough Kernels on Morrey-Herz Spaces AU - S. P. Tao & Q. N. Li JO - Analysis in Theory and Applications VL - 3 SP - 289 EP - 307 PY - 2013 DA - 2013/07 SN - 29 DO - http://doi.org/10.4208/ata.2013.v29.n3.9 UR - https://global-sci.org/intro/article_detail/ata/5065.html KW - Multilinear operator, rough kernel, commutator, Morrey-Herz space. AB -

This paper is concerning the commutators generated by the multilinear singular integral with rough kernels and BMO functions. The boundedness of the multilinear commutators $T_{\vec{b}}(\vec{f})$ is established on the Morrey-Herz space by using the John-Nirenberg inequality.

S. P. Tao and Q. N. Li. (2013). Boundedness of Multilinear Commutators with Rough Kernels on Morrey-Herz Spaces. Analysis in Theory and Applications. 29 (3). 289-307. doi:10.4208/ata.2013.v29.n3.9
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