14 citations · 44 across the 11 of their papers we have counts for
13 papers
On some operator-valued Fourier pseudo-multipliers associated to Grushin operators
Sayan Bagchi, Riju Basak, Rahul Garg +1
This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In th…
On extension of Calderón-Zygmund type singular integrals and their commutators
Sayan Bagchi, Rahul Garg, Joydwip Singh
Motivated by the recent works [Huan Yu, Quansen Jiu, and Dongsheng Li, 2021] and [Yanping Chen and Zihua Guo, 2021], we study the following extension of Calderón-Zygmund type singu…
An analogue of Ingham's theorem on the Heisenberg group
Sayan Bagchi, Pritam Ganguly, Jayanta Sarkar +1
We prove an exact analogue of Ingham's uncertainty principle for the group Fourier transform on the Heisenberg group. This is accomplished by explicitly constructing compactly supp…
Sparse bounds for pseudo-multipliers associated to Grushin operators, I
Sayan Bagchi, Riju Basak, Rahul Garg +1
In this article, we prove sharp quantitative weighted -estimates for Grushin pseudo-multipliers satisfying Hörmander's condition as an application of pointwise domination of G…
On -boundedness of pseudo-multipliers associated to the Grushin operator
Sayan Bagchi, Rahul Garg
In this article we define analogues of pseudo-differential operators associated to the joint functional calculus of the Grushin operator using their spectral resolution, and study…
On theorems of Chernoff and Ingham on the Heisenberg group
Sayan Bagchi, Pritam Ganguly, Jayanta Sarkar +1
We prove an analogue of Chernoff's theorem for the sublaplacian on the Heisenberg group and use it prove a version of Ingham's theorem for the Fourier transform on the same group.
Roe- Strichartz Theorem on Two Step Nilpotent Lie Groups
Sayan Bagchi, Ashisha Kumar, Suparna Sen
Strichartz characterized eigenfunctions of the Laplacian on Euclidean spaces by boundedness conditions which generalized a result of Roe for the one-dimensional case. He also prove…
On the maximal function associated to the spherical means on the Heisenberg group
S. Bagchi, S. Hait, L. Roncal +1
In this paper we deal with lacunary and full versions of the spherical maximal function on the Heisenberg group , for . By suitable adaptation of an approach…
Fourier Multipliers on the Heisenberg groups revisited
Sayan Bagchi
In this paper, we give explicit expressions of differential-difference operators appeared in the hypothesis of the general Fourier multiplier theorem associated to the Heisenberg g…
Heisenberg uniqueness pairs corresponding to finite number of parallel lines
Sayan Bagchi
In this paper we study the Heisenberg uniqueness pairs corresponding to finite number of parallel lines . We give a necessary condition and a sufficient condition for a subset $…
On Hermite pseudo-multipliers
Sayan Bagchi, Sundaram Thangavelu
In this article we deal with a variation of a theorem of Mauceri concerning the boundedness of operators which are known to be bounded on We obtain sufficient…
Weighted norm inequalities for Weyl multipliers and Fourier multipliers on the Heisenberg group
Sayan Bagchi, Sundaram Thangavelu
In this paper we prove weighted norm inequalities for Weyl multipliers satisfying Mauceri's condition. As applications of this we obtain some estimates for multipliers on the…
Buckled nano rod - a two state system and its dynamics
Aniruddha Chakraborty, Sayan Bagchi, K. L. Sebastian
We consider a suspended elastic rod under longitudinal compression. The compression can be used to adjust potential energy for transverse displacements from harmonic to double well…