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arxiv: 1708.09258 · v1 · pith:GLCVGWTYnew · submitted 2017-08-30 · 🧮 math.AP · math.RT

An extension problem and trace Hardy inequality for the sublaplacian on H-type groups

classification 🧮 math.AP math.RT
keywords hardysublaplacianextensionproblemtracetypefractionalgroup
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In this paper we study the extension problem for the sublaplacian on a $H$-type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sublaplacian.

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