Saurabh Shrivastava

activity

20242026

collaborators

6 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

Bilinear spherical maximal function with fractal dilations

Surjeet Singh Choudhary, Chun-Yen Shen, Saurabh Shrivastava

In this paper, we investigate $L^{p} -$ boundedness of the bilinear spherical maximal function associated with a general set $E \subset R_{+}$ . We quantify the range of $L^{p} -$ boundedness…

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·…

math.NT2024

Sparse Bounds for Discrete Maximal Functions associated with Birch-Magyar averages

Ankit Bhojak, Surjeet Singh Choudhary, Siddhartha Samanta +1

In this article, we study discrete maximal function associated with the Birch-Magyar averages over sparse sequences. We establish sparse domination principle for such operators. As…

math.CA2024

Twisted bilinear spherical maximal functions

Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava

We obtain $L^{p} -$ estimates for the full and lacunary maximal functions associated to the twisted bilinear spherical averages given by \[\mathfrak{A}_t(f_1,f_2)(x,y)=\int_{\mathbb S^…

math.CA2024

$L^{p} -$ estimates for uncentered spherical averages and lacunary maximal functions

Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava +1

The primary goal of this paper is to introduce bilinear analogues of uncentered spherical averages, Nikodym averages associated with spheres and the associated bilinear maximal fun…