Convexity of Hessian integrals and Poincaré type inequalities

Hou, Zuoliang

doi:10.1090/S0002-9939-10-10262-7

Convexity of Hessian integrals and Poincaré type inequalities
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by Zuoliang Hou

Proc. Amer. Math. Soc. 138 (2010), 2099-2105

DOI: https://doi.org/10.1090/S0002-9939-10-10262-7

Published electronically: January 27, 2010

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Abstract:

In this paper, integrals involving both real and complex Hessian operators over bounded domains are studied. Poincaré type inequalities are proved in both cases, which generalizes an early result of Trudinger and Wang.

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