The AB program in geometric analysis : sharp Sobolev inequalities and related problems
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Bibliographic Information
The AB program in geometric analysis : sharp Sobolev inequalities and related problems
（Memoirs of the American Mathematical Society, no. 761）
American Mathematical Society, 2002
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Note
"November 2002, volume 160, number 761 (third of 5 numbers)"
Includes bibliographical references : p. 95-98
Description and Table of Contents
Description
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.
Table of Contents
Euclidean background Statement of the $AB$ program Some historical motivations The $H^2_1$-inequality--Part I The $H^2_1$-inequality--Part II PDE methods The isoperimetric inequality The $H^p_1$-inequalities, $1 < p < dimM$ Bibliography.
by "Nielsen BookData"
