Memoirs of the American Mathematical Society
Some Connections Between Isoperimetric and Sobolev-Type Inequalities
Memoirs of the American Mathematical Society
Some Connections Between Isoperimetric and Sobolev-Type Inequalities
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.
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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.
