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math.AP2017★ 2 cited
A multiplier theorem for sub-Laplacians with drift on Lie groups
Alessio Martini, Alessandro Ottazzi, Maria Vallarino
We prove a general multiplier theorem for symmetric left-invariant sub-Laplacians with drift on non-compact Lie groups. This considerably improves and extends a result by Hebisch,…
math.AP2017★ 11 cited
From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere
Valentina Casarino, Paolo Ciatti, Alessio Martini
We prove a sharp multiplier theorem of Mihlin-Hörmander type for the Grushin operator on the unit sphere in , and a corresponding boundedness result for the associate…