Showing 2026Show all
3 papers · 1 filter
math.CA2026
On pointwise convergence of singular integrals of Christ-Journé type
Ankit Bhojak, Sangita Kundu, Saurabh Shrivastava
The primary objective of this paper is to establish the pointwise almost everywhere convergence of the singular integrals of Christ-Journé type. To this end, we prove the weak type…
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…