Analysis of Riemann-Stieltjes type integral operators on Bergman spaces
| Project/Area Number |
26800050
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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 | Tokai University (2016)
Ibaraki University (2014-2015) |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | Bergman 空間 / Fock 空間 / Bloch 空間 / Zygmund 空間 / 積分作用素 / 合成作用素 / Bloch空間 / Zygmund空間 / Bergman空間 / Fock空間 / チェザロ型積分作用素 / ヴォルテラ型積分作用素 |
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| Outline of Final Research Achievements |
In this research, we considered function spaces which consist of holomorphic functions on some domains,
and studied integral-type operators and composition operators acting between these spaces. Our purpose are to characterize operator-theoretic properties of these type operators in terms of function-theoretic properties of symbol functions and self-maps of a domain. Furthermore we estimate the operator norm or the essential norm for these operators by behaviors of Berlin-type integral transforms.
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Report
(4 results)
Research Products
(6 results)
