Some Connections Between Isoperimetric and Sobolev-type Inequalities - Memoirs of the American Mathematical Society (Paperback)
  • Some Connections Between Isoperimetric and Sobolev-type Inequalities - Memoirs of the American Mathematical Society (Paperback)
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Some Connections Between Isoperimetric and Sobolev-type Inequalities - Memoirs of the American Mathematical Society (Paperback)

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Paperback 111 Pages / Published: 30/09/1997
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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.

Publisher: American Mathematical Society
ISBN: 9780821806425
Number of pages: 111
Weight: 245 g
Dimensions: 254 x 178 mm

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