A. Ghosh

collaborators

3 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

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.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…