4 papers · 1 filter
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…
On Sharpness of Criterion for Weak Type boundedness of rough operators
Ankit Bhojak
In this note, we show that the hypothesis is the strongest size condition on a homogeneous rough function on the sphere which ensures the weak type boundedness of…
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…