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Sharp constants for weighted Moser–Trudinger inequalities on groups of Heisenberg type

✍ Scribed by Lam, Nguyen; Tang, Hanli

Book ID: 123177623
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 435 KB
Volume: 89
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2013.04.017

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## 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