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A Harnack-Type Inequality for Convex Functions on the Anisotropic Heisenberg Group

  • Hujun Li
  • Zhiguo Wang
Conference paper
  • 1.6k Downloads
Part of the Communications in Computer and Information Science book series (CCIS, volume 143)

Abstract

In this paper, a Harnack-type inequality for convex functions on the anisotropic Heisenberg group is proved by using iterative methods based upon the structure of the group.

Keywords

anisotropic Heisenberg group convex function Harnack-type inequality 

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References

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    Garofalo, N., Tournier, F.: New properties of convex functions in the Heisenberg group. Transactions of American Mathematical Society 358, 2011–2055 (2004)MathSciNetCrossRefzbMATHGoogle Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Hujun Li
    • 1
  • Zhiguo Wang
    • 2
  1. 1.Department of Public CourseHubei Polytechnic InstituteXiaoganChina
  2. 2.School of ManagementXi’an Jiaotong UniversityXi’anChina

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