與 Zygmund 伸縮相關的奇異積分算子族;Singular Integral Operators Associated with Zygmund Dilations

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题名:	與 Zygmund 伸縮相關的奇異積分算子族;Singular Integral Operators Associated with Zygmund Dilations
作者:	林欽誠
贡献者:	國立中央大學數學系
关键词:	數學
日期:	2012-12-01
上传时间:	2014-03-17 14:20:51 (UTC+8)
出版者:	行政院國家科學委員會
摘要:	研究期間：10108~10207;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.
關聯:	財團法人國家實驗研究院科技政策研究與資訊中心
显示于类别:	[數學系] 研究計畫

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