K. Shuin

activity

20202026

most cited

L^{p}

estimates for multilinear convolution operators defined with spherical measure

7 citations · 12 across the 15 of their papers we have counts for

collaborators

15 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 $α$ for which the helical maximal function is bounded from $L^{p} (∣ x ∣^{α})$ to itself for $3 < p < \infty$ . Our result is optimal for $4\leq p…

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}^λ_{R}(f,g)(x):=\int_{\mathbb{R}^{2n}}m^λ\left(\frac{ξ'}{Rξ_n},\frac{η'}{Rη…

math.CA2024

$L^{p}$ estimates for multilinear maximal Bochner--Riesz means and square function

Kalachand Shuin

In this article we have investigated $L^{p}$ boundedness of the multilinear maximal Bochner--Riesz means and the corresponding square function. We have exploited the ideas given in…

math.CA2024

$l^{2}$ Decoupling for certain degenerate surfaces in $R^{4}$

Kalachand Shuin

In this article, we aim to study decoupling inequality for a specific degenerate hypersurface in $R^{4}$ . Inspired by the work of Bourgain--Demeter and Li--Zheng, we conside…

math.CA2024

Improved curvature conditions on $L^{2} \times \dots \times L^{2} \to L^{2/ m}$ bounds for multilinear maximal averages

Chuhee Cho, Jin Bong Lee, Kalachand Shuin

In this article, we focus on $L^{2} (R^{d}) \times \dots \times L^{2} (R^{d}) \to L^{2/ m} (R^{d})$ estimates for multilinear maximal averages over non-degene…

The bilinear cone multiplier on R2×R2

Helical maximal function and weighted estimates

On the bilinear cone multiplier

Lp estimates for multilinear maximal Bochner--Riesz means and square function

l2 Decoupling for certain degenerate surfaces in R4

Improved curvature conditions on L2×⋯×L2→L2/m bounds for multilinear maximal averages

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

$L^{p}$ estimates for multilinear maximal Bochner--Riesz means and square function

$l^{2}$ Decoupling for certain degenerate surfaces in $R^{4}$

Improved curvature conditions on $L^{2} \times \dots \times L^{2} \to L^{2/ m}$ bounds for multilinear maximal averages