3 papers
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.CA2023
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…
math.CA2023
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…