Abhishek Ghosh

activity

20212023

collaborators

4 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.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.CA2021

Weighted Inequalities for Fractional maximal functions on the infinite rooted $k$ -ary tree

Abhishek Ghosh, Ezequiel Rela

In this article we introduce the fractional Hardy-Littlewood maximal function on the infinite rooted $k$ -ary tree and study its weighted boundedness. We also provide examples of we…

Decay at infinity for solutions to some fractional parabolic equations

Sparse bounds for oscillating multipliers on stratified groups

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

Weighted Inequalities for Fractional maximal functions on the infinite rooted k-ary tree

Weighted Inequalities for Fractional maximal functions on the infinite rooted $k$ -ary tree