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Volume 30, Issue 2
Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces

Rulong Xie, Lisheng Shu & Qianxiang Zhang

Commun. Math. Res., 30 (2014), pp. 168-178.

Published online: 2021-05

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  • Abstract

In this paper, the boundedness of multilinear commutators related to sublinear operators with Lipschitz function on Triebel-Lizorkin spaces is given. As an application, we prove that the multilinear commutators of Littlewood-Paley operator and Bochner-Riesz operator are bounded on Triebel-Lizorkin spaces.

  • AMS Subject Headings

42B25, 42B30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-30-168, author = {Xie , RulongShu , Lisheng and Zhang , Qianxiang}, title = {Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {2}, pages = {168--178}, abstract = {

In this paper, the boundedness of multilinear commutators related to sublinear operators with Lipschitz function on Triebel-Lizorkin spaces is given. As an application, we prove that the multilinear commutators of Littlewood-Paley operator and Bochner-Riesz operator are bounded on Triebel-Lizorkin spaces.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.02.07}, url = {http://global-sci.org/intro/article_detail/cmr/18979.html} }
TY - JOUR T1 - Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces AU - Xie , Rulong AU - Shu , Lisheng AU - Zhang , Qianxiang JO - Communications in Mathematical Research VL - 2 SP - 168 EP - 178 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/10.13447/j.1674-5647.2014.02.07 UR - https://global-sci.org/intro/article_detail/cmr/18979.html KW - multilinear commutator, Triebel-Lizorkin space, Littlewood-Paley operator, Bochner-Riesz operator. AB -

In this paper, the boundedness of multilinear commutators related to sublinear operators with Lipschitz function on Triebel-Lizorkin spaces is given. As an application, we prove that the multilinear commutators of Littlewood-Paley operator and Bochner-Riesz operator are bounded on Triebel-Lizorkin spaces.

Rulong Xie, Lisheng Shu & Qianxiang Zhang. (2021). Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces. Communications in Mathematical Research . 30 (2). 168-178. doi:10.13447/j.1674-5647.2014.02.07
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