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Convexity of Hessian Integrals and Poincare Type Inequalities

Complex Variables 2009-05-25 v2 Differential Geometry

Abstract

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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Cite

@article{arxiv.0905.1640,
  title  = {Convexity of Hessian Integrals and Poincare Type Inequalities},
  author = {Zuoliang Hou},
  journal= {arXiv preprint arXiv:0905.1640},
  year   = {2009}
}

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7 pages