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Volume 33, Issue 2
Multilinear Commutators of $θ$-Type Calderόn-Zygmund Operators on Non-Homogeneous Metric Measure Spaces

R. L. Xie, L. S. Shu & H. L. Wang

Anal. Theory Appl., 33 (2017), pp. 178-196.

Published online: 2017-05

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  • Abstract

In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by $\theta$-type Calderόn-Zygmund operators with $RBMO(\mu)$ functions on non-homogeneous metric measure spaces is obtained.

  • AMS Subject Headings

42B20, 42B25

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COPYRIGHT: © Global Science Press

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@Article{ATA-33-178, author = {R. L. Xie, L. S. Shu and H. L. Wang}, title = {Multilinear Commutators of $θ$-Type Calderόn-Zygmund Operators on Non-Homogeneous Metric Measure Spaces}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {2}, pages = {178--196}, abstract = {

In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by $\theta$-type Calderόn-Zygmund operators with $RBMO(\mu)$ functions on non-homogeneous metric measure spaces is obtained.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n2.7}, url = {http://global-sci.org/intro/article_detail/ata/10044.html} }
TY - JOUR T1 - Multilinear Commutators of $θ$-Type Calderόn-Zygmund Operators on Non-Homogeneous Metric Measure Spaces AU - R. L. Xie, L. S. Shu & H. L. Wang JO - Analysis in Theory and Applications VL - 2 SP - 178 EP - 196 PY - 2017 DA - 2017/05 SN - 33 DO - http://doi.org/10.4208/ata.2017.v33.n2.7 UR - https://global-sci.org/intro/article_detail/ata/10044.html KW - Multilinear commutators, $\theta$-type Calderόn-Zygmund operators, non-homogeneous metric measure spaces, $RBMO(\mu)$. AB -

In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by $\theta$-type Calderόn-Zygmund operators with $RBMO(\mu)$ functions on non-homogeneous metric measure spaces is obtained.

R. L. Xie, L. S. Shu and H. L. Wang. (2017). Multilinear Commutators of $θ$-Type Calderόn-Zygmund Operators on Non-Homogeneous Metric Measure Spaces. Analysis in Theory and Applications. 33 (2). 178-196. doi:10.4208/ata.2017.v33.n2.7
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