A. Ghosh

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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

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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.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.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…