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Convexity of Hessian integrals and Poincaré type inequalities
Author(s):
Zuoliang
Hou
Journal:
Proc. Amer. Math. Soc.
138
(2010),
2099-2105.
MSC (2010):
Primary 39B62;
Secondary 26D10
Posted:
January 27, 2010
MathSciNet review:
2596048
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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.
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
DOI:
10.1090/S0002-9939-10-10262-7
PII:
S 0002-9939(10)10262-7
Keywords:
Complex Hessian,
energy functional
Received by editor(s):
May 25, 2009,
Received by editor(s) in revised form:
September 27, 2009
Posted:
January 27, 2010
Communicated by:
Chuu-Lian Terng
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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