A CR Poincaré inequality on the complex sphere |
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Authors: | Lijing Sun |
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Institution: | Department of Mathematics, Wayne State University, Detroit, MI 48202, USA |
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Abstract: | The main purpose of this paper is to prove a CR Poincaré inequality with sharp exponent on the sphere in complex space. We use the complex tangential gradient on the sphere instead of the usual Laplace-Beltrami gradient on the sphere. |
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Keywords: | Poincaré inequality Complex tangential gradient Moser-Trudinger inequality |
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