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研究生： 鄭雅文
Ya-Wen Cheng
論文名稱： A note on Carleson measure spaces associated to para-accretive functions
指導教授： 李明憶
口試委員:
學位類別： 碩士
Master
系所名稱： 理學院 - 數學系
Department of Mathematics
論文出版年： 2016
畢業學年度： 104
語文別： 英文
論文頁數： 23
中文關鍵詞： Calderon-Zygmund算子
相關次數： 點閱：15  下載：0 
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    • 我們要討論的是在CMO^p_b上的Calderon-Zygmund 算子有界性。令T是一個Calderon-Zygmund算子,如果Tb = 0,則M_bT在CMO^p_b上是有界的,其中p介於n/(n+(ε/2))和1之間,ε是一個關於算子T核的光滑性指數。相反地,如果M_bT在BMO_b = CMO^1_b上有界,則Tb = 0。

    In this paper, we study the boundedness of Calderon-Zygmund operator on the Carleson measure spaces CMO^p_b associated with para-accretive function b. Let T be a Calderon-Zygmund operator. If Tb = 0, then M_bT is bounded on CMO^p_b, for n/(n+(ε/2)), where ε is the regularity exponent of the kernel of T. Conversely, if M_bT is bounded on BMO_b = CMO^1_b, then Tb = 0.

    Contents 摘要 i Abstract ii Acknowledgement iii Contents iv 1 Introduction and Main Result 1 2 Preliminaries 3 3 Some Results on CMO^p_b 8 4 The proof of Theorem 1.2 15 References 17

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