The AB Program in Geometric Analysis

Sharp Sobolev Inequalities and Related Problems

American Mathematical Society (Autor)

Buch | Softcover

2002
American Mathematical Society (Verlag)
9780821829899 (ISBN)

Infos

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. This book describes various results.

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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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 30.9.2002
• Reihe/Serie: Memoirs of the American Mathematical Society
• Zusatzinfo: bibliography
• Verlagsort: Providence
• Sprache: englisch
• Gewicht: 198 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-13: 9780821829899 / 9780821829899
• Zustand: Neuware