2015 Fiscal Year Final Research Report
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
|
| 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 |
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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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| Free Research Field |
数学
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