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

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4 papers · 1 filter

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…