5 papers
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…
-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…
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…
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…
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^…