10 papers · 1 filter
A curved three-point pattern problem for fractal sets on the real line
Surjeet Singh Choudhary, Chong-Wei Liang, Chun-Yen Shen
We study the occurrence of curved three-point configurations in fractal subsets of the real line. We prove that if \(E \subset [0,1]\) is a compact set with sufficiently large Haus…
Bilinear spherical maximal function with fractal dilations
Surjeet Singh Choudhary, Chun-Yen Shen, Saurabh Shrivastava
In this paper, we investigate the boundedness of the bilinear spherical maximal function associated with a general set of dilations . We quantify the range of $…
Lacunary -Discretised Spherical Maximal Operators
Surjeet Singh Choudhary, Ji Li, Chong-Wei Liang +1
We study the lacunary analogue of the -discretised spherical maximal operators introduced by Hickman and Jančar, for , and establish the boundedness on for…
On a variant of bilinear spherical maximal function
Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava
We obtain estimates for the full and lacunary maximal functions associated to the bilinear spherical averages given by \[\mathfrak{A}_t(f_1,f_2)(x,y)=\int_{\mathbb S^{2d-1}}f…
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…
Sharp endpoint estimates for Bilinear spherical maximal functions
Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava +1
In this article, we address endpoint issues for the bilinear spherical maximal functions. We obtain borderline restricted weak type estimates for the well studied bilinear spherica…
Bilinear Bochner-Riesz means for convex domains and Kakeya Maximal function
Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava
In this paper we introduce bilinear Bochner-Riesz means associated with convex domains in the plane and study their boundedness properties for a wide range of e…
Sparse bounds for maximal oscillatory rough singular integral operators
Surjeet Singh Choudhary, Saurabh Shrivastava, Kalachand Shuin
We prove sparse bounds for maximal oscillatory rough singular integral operator $$T^{P}_{Ω,*}f(x):=\sup_{ε>0} \left|\int_{|x-y|>ε}e^{ιP(x,y)}\frac{Ω\big((x-y)/|x-y|\big)}{|x-y|^{n}…
On the bilinear Bochner-Riesz problem at critical index
Surjeet Singh Choudhary, Saurabh Shrivastava
In this paper we study maximal and square functions associated with bilinear Bochner-Riesz means at the critical index. In particular, we prove that they satisfy weighted estimates…
Bilinear Bochner-Riesz square function and applications
Surjeet Singh Choudhary, K. Jotsaroop, Saurabh Shrivastava +1
In this paper we introduce Stein's square function associated with bilinear Bochner-Riesz means and investigate its boundedness properties. Further, we discuss several applic…