Green´s functions on the Heisenberg group
Ajay Kumar, Mukund Madhav Mishra · Analysis · 2010
Explicit expressions for the Green´s function and Poisson kernel for quarter space and octants in the Heisenberg group H 1 are obtained for circular boundary data. Using Poisson kernel, inhomogeneous Dirichlet problem is discussed on H 1 . Explicit Green´s function for the powers of Laplacian in case of Korányi ball is also given.