On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality |
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| Authors: | Beckner William; Pearson Michael |
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| Institution: | Department of Mathematics, University of Texas at Austin Austin, TX 78712, USA
Department of Mathematics and Statistics, Mississippi State University Mississippi State, MS 39762, USA |
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| Abstract: | The purpose of this note is to give a short proof of the Grosslogarithmic Sobolev inequality using the asymptotics of thesharp L2 Sobolev constant and the product structure of Euclideanspace. Let F Lr(Rn) for some positive r with ||F||r=1. 1991 MathematicsSubject Classification 58G35. |
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