14 citations · 61 across the 17 of their papers we have counts for
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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…
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…
Quantum Hermite functions and Fourier Transform of operators
Rahul Garg, Sundaram Thangavelu
We construct operator analogues of Hermite functions which form an orthonormal basis for the Hilbert space of Hilbert-Schmidt operators on We use thi…