3 papers
math.CA2026
Endpoint Variation and jump inequalities for rough singular integrals
Ankit Bhojak, Saurabh Shrivastava
In this article, we prove weak type bounds for the variation and jump operators corresponding to the family of truncations of singular integrals with rough kernels. This re…
math.NT2026
-estimate for long -variational seminorm of discrete Birch-Magyar averages
Ankit Bhojak, Siddhartha Samanta, Saurabh Shrivastava
We prove estimates for long -variational seminorm of two families of averages: discrete Birch-Magyar averages, for with $p>\frac{2c_{\math…
math.CA2025
An alternate approach to bilinear rough singular integrals
Ankit Bhojak, Saurabh Shrivastava
The goal of this paper is to provide a new approach to address the boundedness of bilinear rough singular integral operators. This approach relies on local Fourier series exp…