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    NCU Institutional Repository > 理學院 > 數學系 > 研究計畫 >  Item 987654321/63223


    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:[數學系] 研究計畫

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