A note on Carleson measure spaces associated to para-accretive functions

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鄭雅文(Ya-Wen Cheng) 查詢紙本館藏

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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

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指導教授

李明憶

審核日期

2016-7-5

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