Potential theoretic study of Sobolev functions with variable exponent
| Project/Area Number |
19740076
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Daido Institute of Technology |
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Principal Investigator |
FUTAMURA Toshihide Daido Institute of Technology, 教養部, 准教授 (90387605)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥2,460,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | 実解析 / 関数論 / 実関数論 / ポテンシャル論 |
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| Research Abstract |
We prove the boundedness of the Hardy-Littlewood maximal opertors for Lebesgue spaces with variable exponent. As applications, we discuss Sobolev's type inequality, Hardy's type inequality and Trudinger's type inequality. Further, we deal with a boundary behavior of monotone Sobolev functions with variable exponent.
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Report
(4 results)
Research Products
(10 results)
