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most citedRiesz transforms characterizations of Hardy spaces for the rational Dunkl setting and multidimensional Bessel operators

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math.CA2006

Distributions that are convolvable with generalized Poisson kernel of solvable extensions of homogeneous Lie groups

Ewa Damek, Jacek Dziubanski, Philippe Jaming +1

In this paper, we characterize the class of distributions on an homogeneous Lie group $\fN$ that can be extended via Poisson integration to a solvable one-dimensional extension $\f…