7 citations · 19 across the 20 of their papers we have counts for
24 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…
The bilinear cone multiplier on
Luz Roncal, Saurabh Shrivastava, Kalachand Shuin +1
In this paper, we study the bilinear cone multiplier operator in two dimensions. We establish boundedness for a regularized version of this operato…
Bilinear spherical maximal function with fractal dilations
Surjeet Singh Choudhary, Chun-Yen Shen, Saurabh Shrivastava
In this paper, we investigate the boundedness of the bilinear spherical maximal function associated with a general set of dilations . We quantify the range of $…
On the bilinear cone multiplier
Saurabh Shrivastava, Kalachand Shuin
For , consider the bilinear cone multiplier operator defined by \[{T}^λ_{R}(f,g)(x):=\int_{\mathbb{R}^{2n}}m^λ\left(\frac{ξ'}{Rξ_n},\frac{η'}{Rη…
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…
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…
Sparse bounds for maximal oscillatory rough singular integral operators
Surjeet Singh Choudhary, Saurabh Shrivastava, Kalachand Shuin
We prove sparse bounds for maximal oscillatory rough singular integral operator $$T^{P}_{Ω,*}f(x):=\sup_{ε>0} \left|\int_{|x-y|>ε}e^{ιP(x,y)}\frac{Ω\big((x-y)/|x-y|\big)}{|x-y|^{n}…
On the bilinear Bochner-Riesz problem at critical index
Surjeet Singh Choudhary, Saurabh Shrivastava
In this paper we study maximal and square functions associated with bilinear Bochner-Riesz means at the critical index. In particular, we prove that they satisfy weighted estimates…
Bilinear Bochner-Riesz square function and applications
Surjeet Singh Choudhary, K. Jotsaroop, Saurabh Shrivastava +1
In this paper we introduce Stein's square function associated with bilinear Bochner-Riesz means and investigate its boundedness properties. Further, we discuss several applic…
Maximal estimates for bilinear Bochner-Riesz means
Jotsaroop Kaur, Saurabh Shrivastava
We establish improved and sharp estimates for the maximal bilinear Bochner-Riesz means in all dimensions . This work extends the results proved by Jeong and Lee \cit…
Weighted estimates for Bilinear Bochner-Riesz means at the critical index
K. Jotsaroop, Saurabh Shrivastava, Kalachand Shuin
In this paper we establish weighted estimates for the bilinear Bochner-Riesz operator at the critical index with respect to bilinear weights.
Unimodular bilinear Fourier multipliers on spaces
K. Jotsaroop, Saurabh Shrivastava
In this paper we investigate the boundedness properties of bilinear multiplier operators associated with unimodular functions of the form . We prove that if $ϕ…
estimates for multilinear convolution operators defined with spherical measure
Saurabh Shrivastava, Kalachand Shuin
Let and denote the normalised Lebesgue measure on . For functions defined on…
Bilinear spherical maximal functions of product type
L. Roncal, S. Shrivastava, K. Shuin
In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón-Zygmund theory. This operator is different from the bi…
Quantitative weighted estimates for Rubio de Francia's Littlewood--Paley square function
R. Garg, L. Roncal, S. Shrivastava
We consider the Rubio de Francia's Littlewood--Paley square function associated with an arbitrary family of intervals in with finite overlapping. Quantitative weighted…
Sharp weighted estimates for multi-frequency Calderón-Zygmund operators
Saurabh Shrivastava, K. S. Senthil Raani
In this paper we study weighted estimates for the multi-frequency Calderón-Zygmund operators associated with the frequency set and modulus of cont…
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…
A note on bi-linear multipliers
Saurabh Shrivastava
In this paper we prove that if the indicator function of measurable set is a bi-linear multiplier symbol for exponents satisfying…
Fourier Multipliers and Littlewood-Paley For Modulation Spaces
Parasar Mohanty, Saurabh Shrivastava
In this paper we have studied Fourier multipliers and Littlewood-Paley square functions in the context of modulation spaces. We have also proved that any bounded linear operator fr…
Boundedness of smooth bilinear square functions and applications to some bilinear pseudo-differential operators
Frederic Bernicot, Saurabh Shrivastava
This paper is devoted to the proof of boundedness of bilinear smooth square functions. Moreover, we deduce boundedness of some bilinear pseudo-differential operators associated wit…
Relations between bilinear multipliers on and
Debashish Bose, Shobha Madan, Parasar Mohanty +1
In this paper we prove the bilinear analogue of de Leeuw's result for periodic bilinear multipliers and some Jodeit type extension results for bilinear multipliers.