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| Gradient Estimates for the Heat Kernels in Higher Dimensional Heisenberg Groups |
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Citation： |
Bin QIAN.Gradient Estimates for the Heat Kernels in Higher Dimensional Heisenberg Groups[J].Chinese Annals of Mathematics B,2010,31(3):305~314 |
| Page view： 1900
Net amount： 1645 |
Authors： |
Bin QIAN; |
Foundation： |
China Scholarship Council (No. 2007U13020). |
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| Abstract： |
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
$\mathbb{H}_{n,m}$. The method used here relies on the positive
property of the Bakry-\'Emery curvature $\Gamma_2$ on the radial
functions and some associated semigroup technics.\vskip 4.5mm |
Keywords： |
Gradient estimates, Γ2 curvature, Heat kernels, Sublaplace,
Heisenberg group |
Classification： |
58J35, 43A80 |
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