12 papers
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…
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…
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…
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…
Sharp endpoint estimates for Bilinear spherical maximal functions
Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava +1
In this article, we address endpoint issues for the bilinear spherical maximal functions. We obtain borderline restricted weak type estimates for the well studied bilinear spherica…
On Sharpness of Criterion for Weak Type boundedness of rough operators
Ankit Bhojak
In this note, we show that the hypothesis is the strongest size condition on a homogeneous rough function on the sphere which ensures the weak type boundedness of…
Bilinear Bochner-Riesz means for convex domains and Kakeya Maximal function
Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava
In this paper we introduce bilinear Bochner-Riesz means associated with convex domains in the plane and study their boundedness properties for a wide range of e…
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,…
Sharp weighted estimates for multi-linear Calderón-Zygmund operators on non-homogeneous spaces
Abhishek Ghosh, Ankit Bhojak, Parasar Mohanty +1
In this article, we address pointwise sparse domination for multilinear Calderón-Zygmund operators on upper doubling, geometrically doubling metric measure spaces. As a consequence…