Riesz potentials and p-superharmonic functions in Lie groups of Heisenberg type

Details Riesz potentials and p-superharmonic functions in Lie groups of Heisenberg type Riesz potentials and p-superharmonic functions in Lie groups of Heisenberg type

2010-05-21

arxiv.org/abs/1005.4090v1

Mathematics

Analysis of PDEs

Scientific paper

We prove a superposition principle for Riesz potentials of nonnegative continuous functions on Lie groups of Heisenberg type. More precisely, we show that the Riesz potential $$ R_\alpha(\rho)(g) = \int_{\G} N(g^{-1} g')^{\alpha-Q} \rho(g') dg', \qquad 0<\alpha

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