Invariant Properties of Riesz Potentials
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In this paper, we collect some properties and estimates of Riesz potential operators, and also for the inverse on certain spaces of the Riesz potential operator of order one, for the case when the density function is either radial or has mean value zero on spheres. It turns out that these properties define invariant subspaces of the respective domains of the operators in question.
Riesz potentials, Riesz transforms, invariant subspaces, radial functions
IdentifiersURN: urn:nbn:se:liu:diva-16495OAI: oai:DiVA.org:liu-16495DiVA: diva2:158264