Some Connections Between Isoperimetric and Sobolev-Type Inequalities |
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| Author:
| Bobkov, Serguei
Houdre, Christian |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-0642-5 |
| Publication Date: | Sep 1997 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $50.00USD $50.00 |
Book Description:
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For Borel probability measures on metric spaces, this work presents a study of the interplay between isoperimetric and Sobolev-type inequalities. It explores the question of finding optimal constants via isoperimetric quantities. It focuses on probability distributions on the real line, and the normalized Lebesgue measure on the Euclidean spheres.
For Borel probability measures on metric spaces, this work presents a study of the interplay between isoperimetric and Sobolev-type inequalities. It explores the question of finding optimal constants via isoperimetric quantities. It focuses on probability distributions on the real line, and the normalized Lebesgue measure on the Euclidean spheres.