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math.FA2026
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…
math.CA2026
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…
math.FA2026
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…