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https://ah.lib.nccu.edu.tw/handle/140.119/32557
DC Field | Value | Language |
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dc.contributor.advisor | 陳天進 | zh_TW |
dc.contributor.advisor | Ten-ging Chen | en_US |
dc.contributor.author | 謝佩玲 | zh_TW |
dc.contributor.author | Peiling Hsieh | en_US |
dc.creator | 謝佩玲 | zh_TW |
dc.creator | Peiling Hsieh | en_US |
dc.date | 2002 | en_US |
dc.date.accessioned | 2009-09-17T05:44:46Z | - |
dc.date.available | 2009-09-17T05:44:46Z | - |
dc.date.issued | 2009-09-17T05:44:46Z | - |
dc.identifier | G0089751010 | en_US |
dc.identifier.uri | https://nccur.lib.nccu.edu.tw/handle/140.119/32557 | - |
dc.description | 碩士 | zh_TW |
dc.description | 國立政治大學 | zh_TW |
dc.description | 應用數學研究所 | zh_TW |
dc.description | 89751010 | zh_TW |
dc.description | 91 | zh_TW |
dc.description.abstract | 在這篇論文裡,我們將用Henkin的積分表現法寫出***u=f在C^n上的球域與殼域的解。\n除此之外,我們將估計常數C以滿足***-方程的均勻估計,即||u||∞≦C||f||∞。 | zh_TW |
dc.description.abstract | In this thesis, we will write down the Henkin`s solutions of\n***u=f for arbitrary ***-closed (0,1)-form f on the open balls and shell domains in C^n, and then proceed to find an explicit upper bound C such that the uniform estimates hold in these domains; that is, ||u||∞≦C||f||∞. | en_US |
dc.description.tableofcontents | Abstract i\n中文摘要 ii\n1.Introduction 1\n2.General Results 3\n3.Integral Representation of Solution on Balls in C^n 8\n4.Uniform Estimate for Solution Balls in C^n 10\n5.Uniform Estimate for Solution on Shell Domains in C^n 25\nReferences 34 | zh_TW |
dc.format.extent | 76137 bytes | - |
dc.format.extent | 98589 bytes | - |
dc.format.extent | 125631 bytes | - |
dc.format.extent | 292759 bytes | - |
dc.format.extent | 94585 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en_US | - |
dc.source.uri | http://thesis.lib.nccu.edu.tw/record/#G0089751010 | en_US |
dc.subject | 均勻估計 | zh_TW |
dc.title | 殼域上的 -方程解與均勻估計 | zh_TW |
dc.type | thesis | en |
dc.relation.reference | [1] T. G. Chen, On Henkin`s solution of the ***-problem on | zh_TW |
dc.relation.reference | strictly convex domains in C^n, Universtity of California | zh_TW |
dc.relation.reference | at Berkeley Ph. D. Thesis, 1985. | zh_TW |
dc.relation.reference | [2] T. G. Chen, Geometry of strictly convex domains and an | zh_TW |
dc.relation.reference | application to the uniform estimate of the ***-problem, | zh_TW |
dc.relation.reference | Trans. Amer. Math. Soc. 347, (1995), 2127-2137. | zh_TW |
dc.relation.reference | [3] T. G. Chen and L. J. Lin, Integral representation of | zh_TW |
dc.relation.reference | solution for ***u=f and its uniform estimate on ellipsoids, | zh_TW |
dc.relation.reference | Soochow Journal of Mathematics 21, (1995), 313-334. | zh_TW |
dc.relation.reference | [4] H. Grauert and I. Lieb, Das Ramirezsche Integral und die | zh_TW |
dc.relation.reference | Losung der Gleichung im Bereich der beschrankten Formen, | zh_TW |
dc.relation.reference | Rice Univ. Studies 56(1970) no. 2, 29-50. | zh_TW |
dc.relation.reference | [5] G. M. Henkin, Integral representations of functions | zh_TW |
dc.relation.reference | holomorphic in strictly pseudoconvex domains and | zh_TW |
dc.relation.reference | applications to the ***-problem, Mat. Sb. 82(124), 300-308 | zh_TW |
dc.relation.reference | (1979); Math. U.S.S.R. Sb. 11(1970), 273-281. | zh_TW |
dc.relation.reference | [6] G. M. Henkin and J. Leuterer, Theory of functions on complex | zh_TW |
dc.relation.reference | manifolds, Birkfauser, Boston, Mass., 1984. | zh_TW |
dc.relation.reference | [7] L. Hormander, L^2 estimates and existence theorems for the | zh_TW |
dc.relation.reference | *** operator, Acta Math., 113(1965), 82-152. | zh_TW |
dc.relation.reference | [8] L. Hormander, Introduction to complex analysis in several | zh_TW |
dc.relation.reference | variables, North Holland, Amsterdam, 1973. | zh_TW |
dc.relation.reference | [9] N. Kerzman, Holder and L^p estimates for solution of ***u=f | zh_TW |
dc.relation.reference | on strongly pseudoconvex domains, Comm. Pure. Appl. Math., | zh_TW |
dc.relation.reference | XXIV(1971), 301-380. | zh_TW |
dc.relation.reference | [10]S. G. Krantz, Function theory of several complex variables, | zh_TW |
dc.relation.reference | 2nd ed. Wadsworth and Brooks, pacific Grove, CA. | zh_TW |
dc.relation.reference | [11]S. Long, Comples analysis, Reading, Mass., Addison-Wesley | zh_TW |
dc.relation.reference | Pub. Co., 1977. | zh_TW |
dc.relation.reference | [12]E. Ramirez, Divisions problem in der komplexen analysis mit | zh_TW |
dc.relation.reference | einer Anwendung auf Rand integral darstellung, Math. Ann., | zh_TW |
dc.relation.reference | 184(1970), 172-187. | zh_TW |
dc.relation.reference | [13]R. M. Range, Holomorphic functions and integral | zh_TW |
dc.relation.reference | representations in several complex variables, Springer- | zh_TW |
dc.relation.reference | Verlag New York Inc., 1986. | zh_TW |
dc.relation.reference | [14]H. Shi, Uniform estimates for the ***-equation on balls, | zh_TW |
dc.relation.reference | Proc. of the 1980 Beijing Symp. on differential geometry | zh_TW |
dc.relation.reference | and differential equations, Science Press, Beihing, China, | zh_TW |
dc.relation.reference | 1982, Gordon and Breach, Science Publisher, Inc., New York, | zh_TW |
dc.relation.reference | vol. 3, 1431-1439. | zh_TW |
item.fulltext | With Fulltext | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
item.openairetype | thesis | - |
item.languageiso639-1 | en_US | - |
Appears in Collections: | 學位論文 |
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