The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems: 160 (Memoirs of the American Mathematical Society) - Softcover

American Mathematical Society

 
9780821829899: The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems: 160 (Memoirs of the American Mathematical Society)

Synopsis

Function theory and Sobolev inequalities have been the target of investigation for decades. Sharp constants in these inequalities constitute a critical tool in geometric analysis. The $AB$ program is concerned with sharp Sobolev inequalities on compact Riemannian manifolds. Important and significant progress has been made during recent years. We summarize the present state and describe new results.

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