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Logarithmic Sobolev trace inequality |
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| Authors: | Young Ja Park |
| Affiliation: | Department of Mathematics, University of Texas at Austin, Austin, Texas 78712-1082 |
| Abstract: | A logarithmic Sobolev trace inequality is derived. Bounds on the best constant for this inequality from above and below are investigated using the sharp Sobolev inequality and the sharp logarithmic Sobolev inequality. |
| Keywords: | Sobolev trace inequalities logarithmic Sobolev inequalities logarithmic uncertainty principle |
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