2012 Fiscal Year Final Research Report
Researches of weighted several variable Hardy spaces
| Project/Area Number |
20540148
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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 | Hokusei Gakuen University |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2012
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| Keywords | Hardy空間 / Toeplitz作用素 / 不変部分空間 / 多変数 / 重み付きToeplitz作用素 |
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| Research Abstract |
We studied weighted several variable Hardy spaces mainly in the following three situations.
(1) prediction theory
(2) singular integral operator theory
(3) nonnegative boundary values of functions on weighted Hardy spaces.
For (1), we give the prediction errors for several typical weights in the unit disc. For (2), we estimate the essential norm of a singular integral operator using known nonweighted result. For (3), we extended one variable case to several variable case.
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