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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.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…
math.FA2023
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…