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math.AP2023
Pointwise convergence to initial data for some evolution equations on symmetric spaces
Tommaso Bruno, Effie Papageorgiou
Let be either the Laplace--Beltrami operator, its shift without spectral gap, or the distinguished Laplacian on a symmetric space of noncompact type of a…
math.CA2023
Hardy spaces and dilations on homogeneous groups
Tommaso Bruno, Jordy Timo van Velthoven
On a homogeneous group, we characterize the one-parameter groups of dilations whose associated Hardy spaces in the sense of Folland and Stein are the same.
math.FA2023
Pointwise multipliers for Triebel--Lizorkin and Besov spaces on Lie groups
Tommaso Bruno, Marco M. Peloso, Maria Vallarino
On a general Lie group endowed with a sub-Riemannian structure and of local dimension , we characterize the pointwise multipliers of Triebel--Lizorkin spaces for…