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We give a representation formula for solution of the inhomogeneous Dirichlet problem on the upper half Korányi ball and for the slice of the Korányi ball in the Heisenberg group Hn by obtaining explicit expressions of Green-like kernel when the given data has certain radial symmetry

international journal of mathematics and mathematical sciences

Green’s Function for a Slice of the Korányi Ball in the Heisenberg Group<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">H</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>

Green’s Function for a Slice of the Korányi Ball in the Heisenberg GroupHn