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The $AB$ Program in Geometric Analysis : Sharp Sobolev Inequalities and Related Problems, PDF eBook

The $AB$ Program in Geometric Analysis : Sharp Sobolev Inequalities and Related Problems PDF

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Function theory and Sobolev inequalities have been the target of investigatio 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 ad describe new results.

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