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Item Details
| Title:
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SOME CONNECTIONS BETWEEN ISOPERIMETRIC AND SOBOLEV-TYPE INEQUALITIES
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| By: |
Serguei Bobkov, Christian Houdre |
| Format: |
Paperback |
| List price:
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£46.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821806424 |
| ISBN 13: |
9780821806425 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 January, 1997 |
| Series: |
Memoirs of the American Mathematical Society No. 616 |
| Pages: |
111 |
| Description: |
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. |
| Synopsis: |
For Borel probability measures on metric spaces, the authors study the interplay between isoperimetric and Sobolev-type inequalities. In particular the question of finding optimal constants via isoperimetric quantities is explored. Also given are necessary and sufficient conditions for the equivalence between the extremality of some sets in the isoperimetric problem and the validity of some analytic inequalities. Much attention is devoted to probability distributions on the real line, the normalized Lebesgue measure on the Euclidean spheres, and the canonical Gaussian measure on the Euclidean space. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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