| 一般对称型的F-Sobolev不等式 |
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| 引用本文： | 王峰,张余辉.一般对称型的F-Sobolev不等式[J].东北数学,2003,19(2):133-138. |
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| 作者姓名： | 王峰 张余辉 |
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| 作者单位： | Department of Mathematics，Beijing Normal University，Beijing，100875，Department of Mathematics，Beijing Normal University，Beijing，100875 |
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| 基金项目： | The 973 project,NNSFC(10121101,10025105,10101003)and RFDP(20010027007) |
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| 摘 要： | Some sufficient conditions for the F-Sobolev inequality for symmetric forms are presented in terms of new Cheeger‘s constants. Meanwhile, an estimate of the F-Sobolev constants is obtained.
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| 关 键 词： | F－Sobolev不等式 对称型 Cheeger常数 Poincare不等式 对数Sobolev不等式 |
F-Sobolev Inequality for General Symmetric Forms |
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| WANG Feng and ZHANG Yuhui.F-Sobolev Inequality for General Symmetric Forms[J].Northeastern Mathematical Journal,2003,19(2):133-138. |
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| Authors: | WANG Feng and ZHANG Yuhui |
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| Institution: | DepartmentofMathematics,BeijingNormalUniversity,Beijing,100875 |
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| Abstract: | Some sufficient conditions for the F-Sobolev inequality for symmetric forms are presented in terms of new Cheeger's constants. Meanwhile, an estimate of the F-Sobolev constants is obtained. |
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| Keywords: | F-Sobolev inequality symmetric form Cheeger's constant |
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