Convexity of Hessian Integrals and Poincare Type Inequalities

2009/05/11 by Zuoliang Hou, Hou, Zuoliang
Mathematics · #32U99 #58G03 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.0905.1640

openalex publication_date 2009/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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