The AB program in geometric analysis : sharp Sobolev inequalities and related problems
著者
書誌事項
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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注記
"November 2002, volume 160, number 761 (third of 5 numbers)"
Includes bibliographical references : p. 95-98
内容説明・目次
内容説明
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.
目次
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.
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