English  |  正體中文  |  简体中文  |  Items with full text/Total items : 65421/65421 (100%)
Visitors : 22271424      Online Users : 208
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version


    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/68878


    Title: Calder�n-Zygmund operators on weighted Carleson measure spaces;Calder�n-Zygmund operators on weighted Carleson measure spaces
    Authors: 童鵬哲;Tung,Peng-che
    Contributors: 數學系
    Keywords: 加權CMO空間;Calderón-Zygmund 算子;Calderón-Zygmund operators;Carleson measure spaces;CMO;Ap weight;Hardy spaces;boundedness;one-parameter singular integral operator;weighted Carleson measure spaces;Hp
    Date: 2015-07-27
    Issue Date: 2015-09-23 14:45:49 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 我們討論的是Calderón-Zygmund算子在weighted Carleson measure spaces CMO^p_w(R^n)上的有界性。而這篇文章的主要目的,是證明了Calderón-Zygmund算子T,若是符合了T^∗1 = 0以及T的kernel有著的光滑性質的話,則在n/(n+ε) < p ≤ 1及w ∈ Ap(1+ε/n)的條件下, 算子T在CMO^p_w(R^n)是有界的。而另一方面,我們利用以上的證明手法,我們也可以得到對所有0 < p < ∞,單參數奇異積分算子在CMO^p_w(R^n)的有界性。;We consider the Calderón-Zygmund operators on weighted Carleson measure spaces CMO^p_w(R^n). Our main purpose is to show that the Calderón-Zygmund operators T which satisfy T^∗1 = 0 and ε be the reqularity exponent of the kernel of T, then these operators are bounded on CMO^p_w (R^n) provided by n/(n+ε) < p ≤ 1 and w ∈ Ap(1+ε/n). Using the same argument above, we can also abtain the boundedness
    of one-parameter singular integral operator T on CMO^p_w for 0 < p < ∞ .
    Appears in Collections:[數學研究所] 博碩士論文

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML386View/Open


    All items in NCUIR are protected by copyright, with all rights reserved.

    社群 sharing

    ::: Copyright National Central University. | 國立中央大學圖書館版權所有 | 收藏本站 | 設為首頁 | 最佳瀏覽畫面: 1024*768 | 建站日期:8-24-2009 :::
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback  - 隱私權政策聲明