2010 Fiscal Year Final Research Report
Researches on the structures of function spaces of analytic and harmonic functions and operators on them
| Project/Area Number |
20540185
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Nippon Institute of Technology |
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Principal Investigator |
OHNO Shuichi Nippon Institute of Technology, 工学部, 准教授 (20265367)
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| Co-Investigator(Kenkyū-buntansha) |
IZUCHI Kei Ji 新潟大学, 自然科学系, 教授 (80120963)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 合成作用素 / 荷重合成作用素 / Hardy空間 / Bergman空間 / Bloch空間有界性 / コンパクト性 / 不変部分空間 |
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| Research Abstract |
Main object of this research is to investigate the topological structure of composition operators on various analytic and harmonic function spaces. The product of composition operators also is trivially a composition operator, but the sum and the difference of them are not clear. We here obtain results for linear combinations of composition operators to act compactly between two function spaces.
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