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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Convexity of Hessian integrals and Poincaré type inequalities
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by Zuoliang Hou PDF
Proc. Amer. Math. Soc. 138 (2010), 2099-2105 Request permission

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.
References
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Additional Information
  • Zuoliang Hou
  • Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
  • Address at time of publication: 504 East 81st Street, #2M, New York, New York 10028
  • Email: hou@math.columbia.edu, Zuoliang.Hou@gmail.com
  • Received by editor(s): May 25, 2009
  • Received by editor(s) in revised form: September 27, 2009
  • Published electronically: January 27, 2010
  • Communicated by: Chuu-Lian Terng
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 2099-2105
  • MSC (2010): Primary 39B62; Secondary 26D10
  • DOI: https://doi.org/10.1090/S0002-9939-10-10262-7
  • MathSciNet review: 2596048