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Extremals for Sobolev and Moser Inequalities in Hyperbolic Space

✍ Scribed by Gianni Mancini; Kunnath Sandeep


Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
254 KB
Volume
79
Category
Article
ISSN
1424-9286

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Sharp constants for Moser-Trudinger ineq
✍ William S. Cohn; Guozhen Lu 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 241 KB

## Abstract The main results of this paper concern sharp constants for the Moser‐Trudinger inequalities on spheres in complex space ℂ^__n__^. We derive Moser‐Trudinger inequalities for smooth functions and holomorphic functions with different sharp constants (see Theorem 1.1). The sharp Moser‐Trudi