Continuity for Multilinear Commutator of Littlewood-paley Operator on Besov Spaces

نویسندگان

  • TAN LU
  • CHUANGXIA HUANG
  • LIU LANZHE
چکیده

As the development of the singular integral operators, their commutators have been well studied (see [1, 2, 3, 14]). From [2, 3, 9, 13], we know that the commutators and multilinear operators generated by the singular integral operators and the Lipschitz functions are bounded on the Triebel-Lizorkin and Lebesgue spaces. The purpose of this paper is to introduce the multilinear commutator associated to the Littlewood-Paley operator and prove the continuity properties for the multilinear commutator on the Besov spaces.

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تاریخ انتشار 2013