首页|Trace inequalities,isocapacitary inequalities,and regularity of the complex Hessian equations
Trace inequalities,isocapacitary inequalities,and regularity of the complex Hessian equations
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In this paper,we study the relations between trace inequalities(Sobolev and Moser-Trudinger types),isocapacitary inequalities,and the regularity of the complex Hessian and Monge-Ampère equations with respect to a general nonnegative Borel measure.We obtain a quantitative characterization for these relations through the properties of the capacity-minimizing functions.
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