| Project/Area Number |
22540209
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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 | Meijo University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
NISHIO Masaharu 大阪市立大学, 大学院理学研究科, 准教授 (90228156)
YAMADA Masahiro 岐阜大学, 教育学部, 教授 (00263666)
SHIMOMURA Katsunori 茨城大学, 理学部, 教授 (00101559)
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| Research Collaborator |
NAKAGAWA Hayato
SAKAI Ryozi
ITO Kentaro
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| Project Period (FY) |
2010-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | ポテンシャル解析 / 放物型作用素 / ベルグマン空間 / ハーディ空間 / Carleson 不等式 / Hardy 空間 / Bergman 空間 / Martin 境界 / exponential weight / ポテンシャル論 / ハーディー空間 / テープリッツ作用素 / 多項式近似 / コンパクト作用素 / Toeplitz作用素 / Carleson測度 / Berezin変換 |
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| Outline of Final Research Achievements |
Potential theory is mainly studied solutions of elliptic operators, however, analysis of parabolic operators is also interesting topics, which is called parabolic potential theory. In this view point, we study Hardy and Bergman spaces with respect to a parabolic operators by using parabolic potential analysis. A characterization for positive measures whose Carleson inclusion are bounded is obtained. On Bergamn spaces, we discuss that when Toeplitz operator is bounded, compact, of Schatten class or of finite rank. We also study a relation between Toepliz operator and Carleson inclusion.
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