Study on topological structure of multiplication and composition of analytic functions
| Project/Area Number |
25800055
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Ibaraki University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 合成作用素 / 加重合成作用素 / 解析関数空間 / 函数解析学 / 複素解析学 / 荷重合成作用素 / 関数解析学 / 荷重付き合成作用素 |
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| Outline of Final Research Achievements |
(1) We characterized the Hilbert-Schmidt properties of the differences of two composition operators between some Hilbert spaces of analytic functions by the conditions on the integrals of their symbol functions.
(2) We solved a certain operator equation of composition operators on Hardy space.
(3) We characterized the compactness of composition operators induced by the product of two analytic self-maps on Bergman space by the boundary behavior of those analytic self-maps.
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Report
(4 results)
Research Products
(7 results)
