5 papers
Local Hardy and bmo Spaces on Filtered Lie Groups
Mattia Calzi, Elena Rizzo
We develop a theory of local Hardy and spaces on a connected Lie group with polynomial growth whose Lie algebra is endowed with a filtration. Under suitable assumptions, we p…
Almost sparse operators and Bergman projectors on trees
José M. Conde Alonso, Matteo Monti, Elena Rizzo
We develop a sparse domination framework adapted to nested families in general measure spaces, possibly including point masses. We show that the Carleson condition is equivalent to…
Vector-Valued Singular Integrals on Locally Doubling Spaces
Mattia Calzi, Elena Rizzo
We prove vector-valued boundedness of (suitable) Calderon-Zygmund operators and of the (truncated) Hardy-Littlewood maximal function on a connected locally doubling metric measure…
Endpoint estimates and sparse domination in nonhomogeneous trees
José M. Conde-Alonso, Filippo De Mari, Matteo Monti +2
We prove endpoint and sparse-like bounds for Bergman projectors on nonhomogeneous, radial trees that model manifolds with possibly unbounded geometry. The natural Bergman measu…
Horocyclic harmonic Bergman spaces on homogeneous trees
Filippo De Mari, Matteo Monti, Elena Rizzo
The main focus of this contribution is on the harmonic Bergman spaces on the -homogeneous tree endowed with a family of measures that…