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姓名 鄭雅文(Ya-Wen Cheng)  查詢紙本館藏   畢業系所 數學系
論文名稱
(A note on Carleson measure spaces associated to para-accretive functions)
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摘要(中) 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。
摘要(英) 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.
關鍵字(中) ★ Calderon-Zygmund算子 關鍵字(英)
論文目次 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
參考文獻 References
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指導教授 李明憶 審核日期 2016-7-5
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