Triebel-Lizorkin Spaces of Para-Accretive Type and a Tb Theorem

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27967

Title:	Triebel-Lizorkin Spaces of Para-Accretive Type and a Tb Theorem
Authors:	Lin,CC;Wang,K
Contributors:	數學研究所
Keywords:	SINGULAR INTEGRAL-OPERATORS;LIPSCHITZ-CURVES
Date:	2009
Issue Date:	2010-06-29 19:39:07 (UTC+8)
Publisher:	中央大學
Abstract:	In this article, we use a discrete Calderon-type reproducing formula and Plancherel-Polya-type inequality associated to a para-accretive function to characterize the Triebel-Lizorkin spaces of para-accretive type (F) over dot(b,p)(alpha,q), which reduces to the classical Triebel-Lizorkin spaces when the para-accretive function is constant. Moreover, we give a necessary and sufficient condition for the (F) over dot(1,p)(0,q) - (F) over dot(b,p)(0,q) boundedness of paraproduct operators. From this, we show that a generalized singular integral operator T with MbTMb is an element of WBP is bounded from (F) over dot(1,p)(0,q) to (F) over dot(b,p)(0,q) if and only if Tb is an element of(F) over dot(b,infinity)(0,q) and T*b = 0 for n/n+epsilon < p <= 1 and n/n+epsilon < q <= 2, where epsilon is the regularity exponent of the kernel of T.
Relation:	JOURNAL OF GEOMETRIC ANALYSIS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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