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| 研究生： |
陳琮錡 Tsung-Chi Chen |
|---|---|
| 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 |
| 指導教授： |
林欽誠
Chin-Cheng Lin |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系 Department of Mathematics |
| 畢業學年度： | 96 |
| 語文別： | 英文 |
| 論文頁數： | 11 |
| 中文關鍵詞： | 哈代空間 、分子 |
| 外文關鍵詞： | molecule, hardy space, section |
| 相關次數： | 點閱：10 下載：0 |
| 分享至: |
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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。
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.
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[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.
