Investigation of function spaces of solutions of parabolic equations
| Project/Area Number |
25400133
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Gifu University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
Hishikawa yosuke 岐阜大学, 教育学部, 助教 (50585081)
Yamamoto Takanori 北海学園大学, 工学部, 教授 (60182630)
Nishio Masaharu 大阪市立大学, 理学研究科, 准教授 (90228156)
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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 |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 放物型ハーディー空間 / 放物型ブロッホ空間 / 放物型共役調和関数 / 双対空間 / 基本解 / 積分作用素 / 境界極限存在定理 / 拡張関数 / 放物型極大関数 / 放物型共役関数 / 放物型ハーディー空間上の作用素 |
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| Outline of Final Research Achievements |
We study properties of α-parabolic conjugate functions. We introduce the notion of conjugacy to α-parabolic Bergman spaces. In this study, we define α-parabolic conjugate functions of parabolic Hardy spaces. Study of α-parabolic conjugate functions of parabolic Hardy spaces is diffcult for the case of p-1. Therefore, we study α-parabolic Bloch spaces and give an application to the estimates of tangential derivative norms.
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Report
(4 results)
Research Products
(7 results)
