1 citations · 1 across the 5 of their papers we have counts for
5 papers
On Besov and Triebel-Lizorkin spaces associated with the Grushin operator
Sayan Bagchi, Nishta Garg, Rahul Garg
In this article, we define classical and non-classical Besov and Triebel--Lizorkin spaces associated with the Grushin operator with or without drift. We establish various character…
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…
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,…
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…
Riesz transforms associated with the twisted Laplacian with drift
Nishta Garg, Rahul Garg
We consider the Riesz transforms of arbitrary order associated with the twisted Laplacian with drift on and study their strong-type , , and weak-…