摘要
The author obtains sharp gradient estimates for the heat kernels in two kinds of higher dimensional Heisenberg groups—the non-isotropic Heisenberg group and the Heisenberg type group Hn,m. The method used here relies on the positive property of the Bakry-E′mery curvature Γ2 on the radial functions and some associated semigroup technics.
The author obtains sharp gradient estimates for the heat kernels in two kinds of higher dimensional Heisenberg groups -- the non-isotropic Heisenberg group and the Heisenberg type group Hn,m. The method used here relies on the positive property of the Bakry-Emery curvature F2 on the radial functions and some associated semigroup technics.
基金
Project supported by China Scholarship Council (No. 2007U13020)