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| 摘要: |
| 在这篇文章中，我们得到了圈上Moebius测度的Sobolev不等式、Poincare不等式和对数Sobolev相应最佳常数的双边估计。 |
| 关键词: Moebius测度，Sobolev不等式，Poincare不等式，对数Sobolev不等式 |
| DOI： |
| 分类号:60E15, 39B62, 26DXX |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| Sobolev inequalities for Moebius measures on the unit circle |
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Lei Liangzhen,Ma Yutao
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| Abstract: |
| In this note, we obtain two-sided estimates on optimal Poincar\'{e} constant, logarithmic Sobolev constant and Sobolev constant for Moebius measures on the unit circle. |
| Key words: Moebius measures, Sobolev inequalities, Poincar\'e inequalities, logarithmic Sobolev inequalities |
