| eBook ISBN: | 978-1-4704-0359-1 |
| Product Code: | MEMO/160/761.E |
| List Price: | $59.00 |
| MAA Member Price: | $53.10 |
| AMS Member Price: | $35.40 |
| eBook ISBN: | 978-1-4704-0359-1 |
| Product Code: | MEMO/160/761.E |
| List Price: | $59.00 |
| MAA Member Price: | $53.10 |
| AMS Member Price: | $35.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 160; 2002; 98 ppMSC: Primary 58
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.
ReadershipGraduate students and research mathematicians interested in global analysis and analysis on manifolds.
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Table of Contents
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Chapters
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1. Euclidean background
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2. Statement of the $AB$ program
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3. Some historical motivations
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4. The $H^2_1$-inequality – Part I
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5. The $H^2_1$-inequality – Part II
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6. PDE methods
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7. The isoperimetric inequality
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8. The $H^p_1$-inequalities, $1 < p < \dim M$
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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.
Graduate students and research mathematicians interested in global analysis and analysis on manifolds.
-
Chapters
-
1. Euclidean background
-
2. Statement of the $AB$ program
-
3. Some historical motivations
-
4. The $H^2_1$-inequality – Part I
-
5. The $H^2_1$-inequality – Part II
-
6. PDE methods
-
7. The isoperimetric inequality
-
8. The $H^p_1$-inequalities, $1 < p < \dim M$
