Saurabh Shrivastava

Department of Mathematics

Indian Institute of Science Education and Research Bhopal

Welcome to my webpage. I am a Professor of Mathematics at IISER Bhopal. Here you can find information about my research, teaching, latest updates, and a gallery of images related to my academic work.

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Contact details

Saurabh Shrivastava

Department of Mathematics, IISER Bhopal

Office #213, Academic building 1

Indore by-pass road, Bhauri, Bhopal 462 066, India.

Email: saurabhk@iiserb.ac.in

Phone: +91-755-269 1261

Saurabh Shrivastava

Research area

My research interest lies in the braod area of Euclidean Harmonic Analysis. In particular, I have worked on problems related to bilinear multipliers, maximal functions, Littlewood-Paley square function, and Muckenhoupt weights. Very recently, I have started to explore some recent works of spherical maximal functions in the discrete setting.

Publications/preprints

Year Title Authors Journal DOI/Link
202* L^p-estimates for uncentered spherical averages and lacunary maximal functions Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava, Kalachand Shuin arXiv arXiv:22310.06978
202* Sharp endpoint L^p-estimates for Bilinear spherical maximal functions Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava, Kalachand Shuin arXiv arXiv:2310.00425
202* Bilinear Bochner-Riesz means for convex domains and Kakeya maximal function Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava arXiv arXiv:2305.04077
202* Sparse bounds for maximal oscillatory rough singular integral operators Surjeet Singh Choudhary, Saurabh Shrivastava, Kalachand Shuin arXiv arXiv:2303.00594
2023 On the bilinear Bochner-Riesz problem at critical index Surjeet Singh Choudhary, Saurabh Shrivastava J. Geom. Anal. (2023), no. 2 paper no. 58, 33pp DOI arXiv:2201.12036
2023 Bilinear Bochner-Riesz square function and applications Surjeet Singh Choudhary, K. Jotsaroop, Saurabh Shrivastava, Kalachand Shuin J. Fourier Anal. Appl. 29 (2023), no. 5, Paper No. 63 DOI arXiv:2107.00840
2022 Maximal estimates for bilinear Bochner-Riesz means K. Jotsaroop, Saurabh Shrivastava Adv. Math. 395 (2022), Paper no. 108100 DOI arXiv:2010.06843
2021 Weighted estimates for maximal functions associated with finite type curves in $\R^2$ Ramesh Manna, Saurabh Shrivastava, Kalachand Shuin Nonlinear Anal. (2021), 112225 DOI
2021 $L^p$ estimates for multilinear convolution operators defined with spherical measure Saurabh Shrivastava, Kalachand Shuin Bull. Lond. Math. Soc. 53 (2021), no. 4, 1045-1060 DOI arXiv:2006.03754
2021 Bilinear spherical maximal functions of product type Luz Roncal, Saurabh Shrivastava, Kalachand Shuin J. Fourier Anal. Appl. 27 (2021), no. 4, Paper no. 73 DOI arXiv:2002.08055v1
2021 Weighted estimates for the bilinear Bochner Riesz means at the critical index K. Jotsaroop, Saurabh Shrivastava, Kalachand Shuin Potential Anal. 55 (2021), no. 4, 603-617 DOI arXiv:2007.09415
2021 Quantitative weighted estimates for Rubio de Francia's Littlewood-Paley square function Rahul Garg, Luz Roncal, Saurabh Shrivastava J. Geom. Anal. 31, 748-771 (2021) DOI arXiv:1809.02937
2021 Corrigenda to ``On composition of maximal operator and Bochner-Riesz operator at the critical index" Saurabh Shrivastava, Kalachand Shuin Proc. Amer. Math. Soc. 149 (2021), no. 7, 3139-3140 DOI
2020 On composition of maximal function and Bochner-Riesz operator at the critical index Saurabh Shrivastava, Kalachand Shuin Proc. Amer. Math. Soc. 148 (2020), no. 4, 1545-1554 DOI
2020 Unimodular bilinear Fourier multipliers on $L^p$ spaces K. Jotsaroop, Saurabh Shrivastava Monatsh. Math. 193 (2020), no. 1, 87-103 DOI arXiv:2006.14893
2020 Sharp weighted estimates for multi-linear Calderon-Zygmund operators on non-homogeneous spaces Ankit Bhojak, Abhishek Ghosh, Parasar Mohanty, Saurabh Shrivastava J. Pseudo-Differ. Oper. Appl. 11 (2020), no. 4, 1833-1867 DOI arXiv:1609.08995
2020 Weighted boundedness of multilinear maximal function using Dirac deltas Abhishek Ghosh, Saurabh Shrivastava, Kalachand Shuin Rend. Circ. Mat. Palermo (2) 69, 273-285 (2020) DOI
2019 Multilinear square functions and multiple weights Loukas Grafakos, Parasar Mohanty, Saurabh Shrivastava Math. Scand. 124 (2019), no. 1, 149-160 DOI
2016 Weighted and vector-valued inequalities for one-sided maximal functions Saurabh Shrivastava Proc. Indian Acad. Sci. Math. Sci. 126 (2016), no. 3, 359-380 DOI
2016 A class of bilinear multipliers given by Littlewood-Paley decompositions Saurabh Shrivastava J. Math. Anal. Appl. 443 (2016), no. 2, 1196-1207 DOI
2015 A note on bilinear multipliers Saurabh Shrivastava Proc. Amer. Math. Soc. 143 (2015), no. 7, 3055-3061 DOI
2015 A remark on smooth bilinear Littlewood-Paley operators P. K. Ratnakumar, Saurabh Shrivastava Monatsh. Math. 176 (2015), no. 4, 615-622 DOI
2014 Fourier multipliers and Littlewood-Paley for modulation spaces Parasar Mohanty, Saurabh Shrivastava Math. Nachr. 287, No. 2-3, 324-338 (2014) DOI
2012 On bilinear Littlewood-Paley square functions P. K. Ratnakumar, Saurabh Shrivastava Proc. Amer. Math. Soc. 140 (2012), no. 12, 4285-4293 DOI
2011 Boundedness of smooth bilinear square functions and applications to some bilinear pseudo-differential operators Frederic Bernicot, Saurabh Shrivastava Indiana Univ. Math. J.60 (2011), no. 1, 233-268 DOI
2011 Vector valued bilinear maximal operator and method of rotations Parasar Mohanty, Saurabh Shrivastava J. Math. Anal. Appl. 382 (2011), no. 1, 334-338 DOI
2011 Bilinear Littlewood-Paley for circle and transference Parasar Mohanty, Saurabh Shrivastava Publ. Mat. 55 (2011), no. 2, 501-519 DOI
2010 A note on the bilinear Littlewood-Paley square function Parasar Mohanty, Saurabh Shrivastava Proc. Amer. Math. Soc. 138 (2010), No. 6, 2095-2098 DOI
2009 Relations between bilinear multipliers on $\R^n, \T^n,$ and $\Z^n$ Debashish Bose, Shobha Madan, Saurabh Shrivastava, Parasar Mohanty Proc. Indian Acad. Sci. Math. Sci. 119 (2009), No. 4, 501-512 DOI

Lecture notes

Here are details of courses and lectures.

Littlewood-Paley theory

On almost arithmetic progressions in the primes

Uncertainty principles

Regular courses

Course Title Course Code Year
Real Analysis II MTH 403 2012
Fourier Analysis MTH 506/610 2012, 2022
Multivariable calculus and differential equations MTH 201 2013, 2020
Real Analysis (PhD) MTH 603 2014, 2015, 2020
Real Analysis MTH 303 2014
Measure Theory MTH 404 2015, 2018, 2022
Ordinary Differential Equations MTH 306 2016
Partial Differential Equations MTH 405 2016
Complex Analysis I MTH 407 2018, 2022
Introduction to Wavelets MTH 621 2018, 2022
General Topology MTH 304 2018
Complex Analysis II MTH 604 2021
Functional Analysis MTH 503/614 2020, 2023
Complex variables MTH 204 2024

Past events

16th Discussion Meeting in Harmonic Analysis, December 16-19, 2019 at IISER Bhopal

Modern Trends in Harmonic Analysis, June 26-July 07, 2023 at ICTS Bangalore

News, announcements, and updates related to academic activities will be available here.