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姓名 陳琮錡(Tsung-Chi Chen) 查詢紙本館藏 畢業系所 數學系 論文名稱 關於section的哈代空間上的分子刻畫
(The Molecular Characterization for Hardy Spaces Associated to the Sections)相關論文 檔案 [Endnote RIS 格式]
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摘要(中) 在這篇文章我們將定義關於section的哈代
空間裡的分子並且給出它的分子刻劃。接著
我們將藉著分子刻劃去證明 Monge-Ampere
奇異積分算子在這個哈代空間上的有界性。摘要(英) In this paper we shall define molecules for Hardy spaces associated to the sections and give the molecular characterization. Then we show that the Monge-Ampere sigular integral operator is bounded on these Hardy spaces. 關鍵字(中) ★ 哈代空間
★ 分子關鍵字(英) ★ molecule
★ hardy space
★ section論文目次 中文摘要 ... i
英文摘要 ... ii
Contents ... iii
1.Introduction 1
2. The molecular characterization of H^1_F ... 4
3. H^1_F boundedness of the Monge-Ampere singular integral operators ... 7
References ... 11參考文獻 [AFT] H. Aimar, L. Forzani, and R. Toledano, Balls and quasi-metrics: a space of homogeneous type modeling the real analysis related to the Monge-Amp`ere equation, J. Fourier Anal. Appl. 4 (1998), 377-381.
[CG1] L. A. Caffarelli, and C. E. Guti′errez, Real analysis related to the Monge-Amp`ere equation, Trans. Amer. Math. Soc. 348 (1996), 1075-1092.
[CG2] L. A. Caffarelli, and C. E. Guti′errez, Singular integrals related to the Monge-Amp`ere equation, Wavelet theory and Harmonic Analysis in Applied Sciences (Buenos Aires, 1995), 3-13, Appl. Numer. Harmon. Anal., Birkhauser Boston, Boston, Mass., 1997.
[DL] Y. Ding, and C.-C Lin, Hardy spaces associated to the sections, Tohoku Math. J. 57 (2005), 147-170.
[In] A. Incognito, Weak-type (1,1) inequality for the Monge-Amp`ere SIO’s, J. Fourier Anal. Appl. 7 (2001), 41-48.
[LL] M.-Y. Lee, and C.-C. Lin, The molecular characterization of weighted Hardy spaces, J. Func. Anal. 188 (2002), 442-460.
[TW] M. H. Taibleson, and G. Weiss, The molecular characterization of certain Hardy spaces, Ast′erisque 77 (1980), 67-149.指導教授 林欽誠(Chin-Cheng Lin) 審核日期 2008-7-18 推文 plurk
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