4 papers · 1 filter
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…
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…
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…
Weak type bounds for rough maximal singular integrals near
Ankit Bhojak, Parasar Mohanty
In this paper it is shown that for , the rough maximal singular integral operator is of weak type . Furthermore,…