K. Shuin

collaborators

3 papers

math.CA2026

The bilinear cone multiplier on $R^{2} \times R^{2}$

Luz Roncal, Saurabh Shrivastava, Kalachand Shuin +1

In this paper, we study the bilinear cone multiplier operator in two dimensions. We establish $L^{p_{1}} \times L^{p_{2}} \to L^{p}$ boundedness for a regularized version of this operato…

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

On the bilinear cone multiplier

Saurabh Shrivastava, Kalachand Shuin

For $f, g \in S (R^{n}), n \geq 3$ , consider the bilinear cone multiplier operator defined by \[{T}^Î»_{R}(f,g)(x):=\int_{\mathbb{R}^{2n}}m^Î»\left(\frac{Î¾'}{RÎ¾_n},\frac{Î·…

The bilinear cone multiplier on R2×R2

Helical maximal function and weighted estimates

On the bilinear cone multiplier

The bilinear cone multiplier on $R^{2} \times R^{2}$