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

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题名:	Triebel-Lizorkin Spaces of Para-Accretive Type and a Tb Theorem
作者:	Lin,CC;Wang,K
贡献者:	數學研究所
关键词:	SINGULAR INTEGRAL-OPERATORS;LIPSCHITZ-CURVES
日期:	2009
上传时间:	2010-06-29 19:39:07 (UTC+8)
出版者:	中央大學
摘要:	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.
關聯:	JOURNAL OF GEOMETRIC ANALYSIS
显示于类别:	[數學研究所] 期刊論文

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