Calderon-Zygmund operators on product Hardy spaces

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51125

Title:	Calderon-Zygmund operators on product Hardy spaces
Authors:	Han,YS;Lee,MY;Lin,CC;Lin,YC
Contributors:	數學系
Date:	2010
Issue Date:	2012-03-27 18:22:28 (UTC+8)
Publisher:	國立中央大學
Abstract:	Let T be a product Calderon-Zygmund singular integral introduced by Journe. Using an elegant rectangle atomic decomposition of H(p) (R(n) x R(m)) and Journe's geometric covering lemma, R. Fefferman proved the remarkable H(p)(R(n) x R(m)) - L(p)(R(n) x R(m)) boundedness of T. In this paper we apply vector-valued singular integral, Calderon's identity, Littlewood-Paley theory and the almost orthogonality together with Fefferman's rectangle atomic decomposition and Journe's covering lemma to show that T is bounded on product H(p)(R(n) x R(m)) for max{n/n+epsilon, m/m+epsilon} < p <= 1 if and only if T(1)(1) = T(2)(1) = 0, where epsilon is the regularity exponent of the kernel of T. (C) 2009 Elsevier Inc. All rights reserved.
Relation:	JOURNAL OF FUNCTIONAL ANALYSIS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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