Riemann-Hilbert problem

黎曼-希尔伯特问题

• 批准号: 09640229
• 负责人: CHO Muneo
• 金额: $ 0.77万
• 依托单位: Kanagawa University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640229/
• 关键词: Riemann-Hilbert problem; Hilbert space; Linear operator; Putnam inequality; p-hyponomal operator; Singular intergral model; Taylor spectrum; Xia spectrum; Riemann-Hilbert問題; symbol; Weylの定理

The title of my research is "Riemann-Hilbert problem"(No.09640229). I studied this problem from Heisei 9th to 11th. I made 16 manuscripts in this period, 9 manuscripts already pubrished and remaining 7 manuscripts are printing. I studied this problem the following steps :(1) Making new spectral mapping theorems for p-hyponormal operators.(2) Making new general polar symbols for p-hyponormal operators.(3) Making new singular integral model for p-hyponormal operators.(4) Extending Putnam inequality to n-tuples.(5) Extending p-hyponormal operators to Riemann-Hilbert problemSteps (1) - (3) are for the research of (4) and (5). I got almost final results of these steps. Hence I finished (5) in this research period. About (4), I got some information. I made two manuscripts of this problem. Professor Tadasi Huruya is very important. I got his help. Also, I asked to come to Japan to Professor W.Zelazko, he is a professor of the Banach Institute, in Heisei 10th. And in Heisei 11th I asked to come to Japan to Professor R.Curto, he is a professor of the University of Iowa. We discussed the problem (4) and got two munscripts.

我的研究的标题是“ Riemann-Hilbert问题”（No.09640229）。我研究了Heisei 9th至11th的问题。在此期间，我制作了16份手稿，已经进行了9条手稿，其余7个手稿正在印刷。 I studied this problem the following steps :(1) Making new spectral mapping theorems for p-hyponormal operators.(2) Making new general polar symbols for p-hyponormal operators.(3) Making new singular integral model for p-hyponormal operators.(4) Extending Putnam inequality to n-tuples.(5) Extending p-hyponormal operators to Riemann-Hilbert problemSteps (1) - （3）用于（4）和（5）的研究。我几乎得到了这些步骤的最终结果。因此，我在这个研究期间完成了（5）。关于（4），我得到了一些信息。我对这个问题进行了两个手稿。 Tadasi Huruya教授非常重要。我得到了他的帮助。另外，我要求来到日本，去日本W.Zelazko教授，他是Heisei 10th Banach Institute的教授。在海塞（Heisei）11th，我要求来到日本（R.Curto）教授，他是爱荷华大学的教授。我们讨论了这个问题（4），并得到了两个Munscripts。

项目成果

長 宗雄、古谷 正、伊藤益生: "Singular integral models for p-hyponormal operatorsand Riemann-Hilbert problem" Studia Math.130. 213-221 (1998)

Muneo Naga、Tadashi Furuya、Masuo Ito：“p 次正规算子的奇异积分模型和 Riemann-Hilbert 问题”Studia Math.130（1998）。

M.Cho, T.Huruya and Y.O.Kim: "A note on w-hyponormal operators"J. Inequal. Appl.. to appear.

M.Cho、T.Huruya 和 Y.O.Kim：“关于 w 次正规算子的注释”J.

M.Cho, T.Huruya and B.Duggal: "Corrigendum to "On the spectrum of p-hyponormal operators""Acta Sci. Math. (Szeged). 64. 739-740 (1998)

M.Cho、T.Huruya 和 B.Duggal：“《关于 p 次正规算子的谱》的勘误”《Acta Sci》。

長宗雄, 伊藤益生: "Fuzzy bounded operators" Fuzzy sets and systems. 93. 353-362 (1998)

Naga Muneo，Ito Masuo：“模糊有界算子” 模糊集和系统。 93. 353-362 (1998)

長宗雄,古谷正,伊藤益生: "Riemann-Hilbertproblem for characteristic functions of p-hyponoromal operators"Acta Sci. Math. (Szeged). 64. 271-279 (1998)

Nagamuneo，Masaru Furuya，Masuo Ito：“p-次正算子的特征函数的黎曼-希尔伯特问题”Acta Sci。64。271-279（1998）。