3 papers
math.FA2026
On Sobolev spaces for the Grushin operator
Nishta Garg, Rahul Garg
We define Sobolev spaces associated with the Grushin operator with or without drift. We study some of their norm equivalences and establish embedding and algebra properties. We als…
math.AP2026
On Spectral multiplier theorem for sub-Laplacians with drift on Métivier groups
Nishta Garg, Joydwip Singh
In this paper, we prove a spectral multiplier theorem for sub-Laplacians with drift on Métivier groups. We improve the result of [Martini, Ottazzi and Vallarino, Rev. Mat. Iberoam…
math.AP2026
Riesz transforms associated with the Grushin operator with drift
Nishta Garg, Rahul Garg
We consider the Grushin operator with drift which is symmetric with respect to a measure having exponential growth. For the corresponding Riesz transforms, we study strong-type $(p…