An Upper Bound for the Poisson Kernel on Higher Rank NA Groups

作者：Penney Richard C; Urban Roman^*

来源：Potential Analysis, 2011, 35(4): 373-386.

DOI：10.1007/s11118-010-9217-6

• Poisson kernel
• Harmonic functions
• Solvable Lie groups
• Higher rank NA groups
• Homogeneous group
• Left invariant operators
• Brownian motion

Let S be a semi direct product S = N (sic) A where N is a connected and simply connected nilpotent Lie group and A is isomorphic with R(k), k > 1. We obtain an upper bound for the Poisson kernel for the class of second order left-invariant differential operators on S.

• 出版日期2011-11