Dr. Saurabh Shrivastava

Harmonic Analysis

    • Assistant Professor (July 2012), Mathematics, Indian Institute of Science Education and Research, Bhopal, India.
    • Postdoc (Feb. 2011-June 2012) School of Mathematics, Harish-Chandra Research Institute Allahabad, India
    • Ph.D. (2005-11) Indian Institute of Technology Kanpur, India
  • Bilinear operators: My current interest in this area is to study the orthogonality properties of bilinear multiplier operators associated with symbols having disjoint supports. In particular, I study boundedness of bilinear Littlewood-Paley operators and bilinear operators arising in the process. One-sided maximal functions: I am interested in classifying the class of weights for which higher dimensional one-sided maximal function is bounded from weighed Lebesgue space of p-integrable functions to itself. Also, I am studying vector-valued weighted inequalities for these operators
Authors Title of Article Journal Year
Surjeet Singh Choudhary
Saurabh Shrivastava
On the bilinear Bochner-Riesz problem at critical index
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Journal of Geometric Analysis 2023
Jotsaroop K.
Saurabh Shrivastava
Maximal estimates for bilinear Bochner-Riesz means
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Adv. Math. 2022
Saurabh Shrivastava
Kalachand Shuin
Corrigenda to "On composition of maximal operator and Bochner-Riesz operator at the critical index''
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Proc. Of the Am. Math. Soc. 2021
Jotsaroop Kaur
Saurabh Shrivastava
Kalachand Shuin
Weighted Estimates for Bilinear Bochner-Riesz Means at the Critical Index
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Potential anal. 2021
Saurabh Shrivastava
Kalachand Shuin
Lp estimates for multilinear convolution operators defined with spherical measure
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Bull. London Math. Soc. 2021
Luz Roncal
Saurabh Shrivastava
Kalachand Shuin
Bilinear spherical maximal functions of product type
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J. Fourier Anal. Appl. 2021
Saurabh Shrivastava
Kalachand Shuin
Corrigenda to "On composition of maximal operator and Bochner-Riesz operator at the critical index''
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Proc. Of the Am. Math. Soc. 2021
Ramesh Manna
Saurabh Shrivastava
Kalachand Shuin
Weighted estimates for maximal functions associated with finite type curves in \R^2
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Nonlinear Anal. 2021
Saurabh Shrivastava
Parasar Mohanty
Ankit Bhojak
Abhishek Ghosh
Sharp weighted estimates for multi-linear Calderon-Zygmund operators on non-homogeneous spaces
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J. Pseudo-Differ. Oper. Appl. 2020
K. Jotsaroop
Saurabh Shrivastava
Unimodular bilinear Fourier multipliers on $L^p$ spaces
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Monatsh. Math. 2020
Abhishek Ghosh
Kalachand Shuin
Local one-sided maximal function on fractional Sobolev spaces
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Math. Inequal. Appl. 2019
Luz Roncal
Rahul Garg
Saurabh Shrivastava
Quantitative weighted estimates for Rubio de Francia's Littlewood-Paley square function
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Journal of Geometric Analysis 2021
Saurabh Shrivastava
Kalachand Shuin
On composition of maximal function and Bochner-Riesz operator at the critical index
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Proc. Of the Am. Math. Soc. 2020
Kalachand Shuin
Saurabh Shrivastava
Abhishek Ghosh
Weighted boundedness of multilinear maximal function using Dirac deltas
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Rend. Circ. Mat. Palermo (2) 2020
Saurabh Shrivastava
Parasar Mohanty
Loukas Grafakos
Multilinear square functions and multiple weights
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Mathematica Scandinavica 2019
saurabh shrivastava
Weighted and vector-valued inequalities for one-sided maximal functions
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Proceedings (mathematical Science) 2016
Saurabh Shrivastava
A class of bilinear multipliers given by Littlewood–Paley decomposition
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J. Math. Anal. Appl. 2016
Saurabh Shrivastava
A note on bi-linear multipliers
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Proc. Of the Am. Math. Soc. 2015
Saurabh Shrivastava
P K Ratnakumar
A remark on bilinear Littlewood-Paley square functions
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Monatsh. Math. 2015
Saurabh Shrivastava
Parasar Mohanty
Fourier multipliers and Littlewood-Paley for modulation spaces
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Math. Machr. 2014