Moser-Trudinger inequalities on hyperbolic spaces

来源 :Harmonic Analysis and Applications(2014调和分析及其应用学术会议) | 被引量 : 0次 | 上传用户:a282952061
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In this report,we establish best constants for several type of Moser-Trudinger inequalities on hyperbolic spaces.These include sharp constants for the Moser-Trudinger inequality on both bounded and unbounded domains of the hyperbolic space,sharp constants for singular Moser-Trudinger inequality on unbounded domains when we impose restrictions on the full Sobolev norms or on only the gradient norms.And at last,we set up the subcritical Moser-Trudinger inequalities with the exact growth condition.
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