A. Ghosh

activity

20212023

most citedSparse bounds for pseudo-multipliers associated to Grushin operators, I

3 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2023

Decay at infinity for solutions to some fractional parabolic equations

Agnid Banerjee, Abhishek Ghosh

For $s \in [1/2, 1)$ , let $u$ solve $(\partial_{t} - Δ)^{s} u = V u$ in $R^{n} \times [- T, 0]$ for some $T > 0$ where $∣∣ V ∣ ∣_{C^{2} (R^{n} \times [- T, 0])} < \infty$ . We show…

math.AP2023★ 1 cited

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…

math.AP2023

Sharp asymptotic of solutions to some nonlocal parabolic equations

Agnid Banerjee, Abhishek Ghosh

We show that if $u$ solves the fractional parabolic equation $(\partial_{t} - Δ)^{s} u = V u$ in $B_{5} \times (- 25, 0]$ ( $0 < s < 1$ ) such that $u (\cdot, 0) \neq \equiv 0$ , then the maximal v…

math.CA2023

Sparse bounds for oscillating multipliers on stratified groups

Abhishek Ghosh, Michael Ruzhansky

In this article, we address sparse bounds for a class of spectral multipliers that include oscillating multipliers on stratified Lie groups. Our results can be applied to obtain we…

math.AP2022

Strong unique continuation for variable coefficient parabolic operators with Hardy type potential

Agnid Banerjee, Pritam Ganguly, Abhishek Ghosh

In this paper, we prove the strong unique continuation property at the origin for solutions of the following scaling critical parabolic differential inequality \[ |\operatorname{di…

math.CA2022

Weighted estimates for bilinear fractional integral operator on the Heisenberg group

Abhishek Ghosh, Rajesh K. Singh

In this article, we introduce an analogue of Kenig and Stein's bilinear fractional integral operator on the Heisenberg group $H^{n}$ . We completely characterize exponents $α…

math.AP2021★ 3 cited

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 $L^{p}$ -estimates for Grushin pseudo-multipliers satisfying Hörmander's condition as an application of pointwise domination of G…