Abstract
The continuityfor some multilinear operators related to certain fractional singular integral operators on Triebel-Lizorkin spaces is obtained. The operators include Calderon-Zygmund singular integral operator and fractional integral operator.
Highlights
Let T be a Calderon-Zygmund singular integral operator; a wellknown result of Coifman et al states that the commutator [b, T ] = T−bT f is bounded on Lp(Rn) for 1 < p < ∞; Chanillo proves a similar result when T is replaced by the fractional integral operator; in [10, 11], these results on the Triebel-Lizorkin spaces and the case b ∈ Lip β are obtained
The main purpose of this paper is to discuss the continuity for some multilinear operators related to certain fractional singular integral operators on the Triebel-Lizorkin spaces
We will establish the continuity on the Triebel-Lizorkin spaces for the multilinear operators only under certain conditions on the size of the operators
Summary
The continuity for some multilinear operators related to certain fractional singular integral operators on Triebel-Lizorkin spaces is obtained.
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