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…
Twisted bilinear spherical maximal functions
Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava
We obtain estimates for the full and lacunary maximal functions associated to the twisted bilinear spherical averages given by \[\mathfrak{A}_t(f_1,f_2)(x,y)=\int_{\mathbb S^…
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…