Boundedness of multilinear operators on Triebel-Lizorkin spaces

نویسنده

  • Liu Lanzhe
چکیده

The purpose of this paper is to study the boundedness in the context of Triebel-Lizorkin spaces for some multilinear operators related to certain convolution operators. The operators include Littlewood-Paley operator, Marcinkiewicz integral, and Bochner-Riesz operator. 1. Introduction. Let T be a Calderon-Zygmund operator. A well-known result of Coif-man et al. [6] states that the commutator [b, T ] = T (bf) − bT f (where b ∈ BMO) is bounded on L p (R n) for 1 < p < ∞; Chanillo [1] proves a similar result when T is re

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2004  شماره 

صفحات  -

تاریخ انتشار 2004