Abhishek Ghosh

collaborators

3 papers

math.CA2026

Spherical maximal functions and Hardy spaces for Fourier integral operators

Abhishek Ghosh, Naijia Liu, Jan Rozendaal +1

We use the Hardy spaces for Fourier integral operators to obtain bounds for spherical maximal functions in $L^{p} (R^{n})$ , $n \geq 2$ , where the radii of the spheres are res…

math.CA2026

Helical maximal function and weighted estimates

Abhishek Ghosh, Kalachand Shuin

In this article, we characterize the range of $I^\pm$ for which the helical maximal function is bounded from $L^{p} (∣ x ∣^{I^} \pm)$ to itself for $3 < p < \infty$ . Our result is optimal for $4\leq…

math.CA2025

Dimension free estimates for the vector-valued Hardy--Littlewood maximal function on the Heisenberg group

Pritam Ganguly, Abhishek Ghosh

In this article, we establish dimension-free Fefferman-Stein inequalities for the Hardy-Littlewood maximal function associated with averages over KorÃ¡nyi balls in the Heisenberg g…