none; The Boundedness of Calderon-Zygmund Operators by Wavelet Characterization

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/25779

Title:	none;The Boundedness of Calderon-Zygmund Operators by Wavelet Characterization
Authors:	洪誠聰;Cheng-Cong Hung
Contributors:	數學研究所
Keywords:	小波刻劃;仿積算子;T1定理;Hardy spaces;Wavelet Characterization;Calderón-Zygmund Operators;para-product;T1 Theorem
Date:	2009-12-11
Issue Date:	2010-06-11 16:16:09 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	本論文中，我們討論的是有關於Calderón-Zygmund算子在哈弟空間的有界性。我們利用的小波刻劃來證明當Calderón-Zygmund算子T滿足T1=0，則T在H^p上有界，其中p滿足n/(n+ε)<p<=1，ε依賴於T的核的光滑性。 This article deals with the boundedness properties of Calderón-Zygmund operators on Hardy spaces, H^p. We use wavelet characterization of H^p to show that a Calderón-Zygmund operator T with T1=0 is bounded on H^p, n/(n+ε)<p<=1, where ε is the regular exponent of kernel of T.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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