The weighted boundedness of Calderon-Zygmund operators

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李建中(chien-chung Li) 查詢紙本館藏

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論文名稱

(The weighted boundedness of Calderon-Zygmund operators)

相關論文

★ 離散型Calderón表示定理	★ Calderon-Zygmund 算子在乘積空間上的 H^p(R^n × R^m) 有界性
★	★ 非同質哈弟空間原子分解
★ 關於加權哈弟空間結合仿增長函數的一個註解	★ VMO Associated to the Sections
★ Calderón-Zygmund operators on weighted Carleson measure spaces	★ A note on inhomogeneous Besov space associated with sections
★ 一個Monge-Ampère奇異積分算子的例子	★ A note on Carleson measure spaces associated to para-accretive functions
★ A note on inhomogeneous Triebel-Lizorkin space associated with sections	★ A Note on Harmonic Analysis and Its Applications
★ 奇異積分交換子的有界性

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摘要(中)

這篇論文中，我們用兩種手法來討論當w屬於A1權，且n/(n+ε)

摘要(英)

In this article, we show that Calderón-Zygmund operators are bounded on weighted Hardy space H_w^p provided w∈A_1 and n/(n+ε)

關鍵字(中)

★ 哈代加權空間
★ 分子刻劃
★ 原子分解
★ g函數
★

關鍵字(英)

★ Ap weights
★ g-function
★ molecular character
★ weighted Hardy spaces
★ Littlewood paley
★ atomic decomposition

論文目次

1.Introduction 1
2.Preliminary 3
3.Weighted boundedness of CZOs on H_w^p (R^n) 5
4.Weighted CZOs on H_w^p via Littlewood-Paley theory 7
Reference 18

參考文獻

[CF] R. R. Coifman and C. Fefferman
Weighted norm inequalities for maximal functions and singular integrals, Studia Math., 51(1974), 241-250.
[D] J. Duoandikoetxea,
"Fourier Analysis", Addison-Wesley and Universidad Autonoma de Madrid, 1995.
[G] J. Garcia-Cuerva
Weighted Hp spaces, Dissertations Math., 162(1979), 1-63.
[GR] J. Garcia-Cuerva, J. Rubio de Francia,
"Weighted Norm Inequality and Related Topics", North-Holland, Amsterdam, 1985.
[HMW]R. Hunt, B. Muckenhoupt, and R. Wheeden
Weighted norm inequalities for the conjugate function and Hilbert transform, Trans. Amer. Math. Soc., 176(1973), 227-251.
[HLL] Y. Han, M.-Y. Lee, C.-C. Lin,
Atomic decomposition and boundedness of operators on weighted Hardy spaces, Canad. Math. Bull.,to appear.
[HS] Y. Han and E. T. Sawyer
Para-accretive functions, the weak boundedness property and the Tb theorem, Rev. Mat. Iberoamericana, 6(1990), 17-41.
[LL]M. Y. Lee and C. C Lin
The molecular characterization of weighted Hardy spaces, J. Funcl. Anal., 188(2002), 442-460.
[ST] J.-O. Str"omberg and A. Torchinsky
"Weighted Hardy Spaces," Lecture Notes in Mathemactics
Springer-Verlag, Berlin/New York, 1381(1989).

指導教授

李明憶(Ming-Yi Li)

審核日期

2009-7-2

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