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arxiv: 0905.1640 · v2 · submitted 2009-05-11 · 🧮 math.CV · math.DG

Convexity of Hessian Integrals and Poincare Type Inequalities

classification 🧮 math.CV math.DG
keywords hessianinequalitiesintegralspoincaretypeboundedcasescomplex
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In this paper, we studied integrals involving both real and complex Hessian operators over bounded domain. Poincare type inequalities were proved in both cases which generalized a early results of Trudinger and Wang.

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