與 Zygmund 伸縮相關的奇異積分算子族;Singular integral operators associated with Zygmund dilations

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/63223

Title:	與 Zygmund 伸縮相關的奇異積分算子族;Singular integral operators associated with Zygmund dilations
Authors:	林欽誠
Contributors:	國立中央大學數學系
Keywords:	數學
Date:	2013-12-01
Issue Date:	2014-03-17 14:21:56 (UTC+8)
Publisher:	行政院國家科學委員會
Abstract:	研究期間：10208~10307;In this proposal a class of singular integral operators associated with a multiparameter family of dilations are studied. We are especially interested in Zygmund dilation on 3 defined by (x, y, z)(1x, 2 y,1 2z) , 1 2  ,  0. We introduce a class of singular integral operators associated with this dilation. The kernels of these operators are characterized by a certain regularity and several cancellation conditions. The Lp and H p boundedness of such operators will be proved, and the composition of these operators is considered as well. Examples and applications are also discussed.
Relation:	財團法人國家實驗研究院科技政策研究與資訊中心
Appears in Collections:	[Department of Mathematics] Research Project

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