Prof. Saurabh Kumar Shrivastava
Professor
saurabhk@iiserb.ac.in
+91 755 269 1261
Academic Details
- 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
Research
- 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
Publication
| SNo | Authors | Title of Article | Pid | Journal | Year |
|---|---|---|---|---|---|
| 1 | Saurabh Shrivastava,Surjeet Singh Choudhary,Ankit Bhojak | Bilinear Bochner-Riesz means for convex domains and Kakeya maximal function | 6097 | arXiv | 2024 |
| 2 | Surjeet Singh Choudhary,Saurabh Shrivastava | On the bilinear Bochner-Riesz problem at critical index | 4759 | Journal of Geometric Analysis | 2023 |
| 3 | Surjeet Singh Choudhary, Jotsaroop Kaur,Saurabh Shrivastava,Kalachand Shuin | Bilinear Bochner-Riesz square function and applications | 6093 | J. Fourier Anal. Appl. | 2023 |
| 4 | Jotsaroop K.,Saurabh Shrivastava | Maximal estimates for bilinear Bochner-Riesz means | 4757 | Adv. Math. | 2022 |
| 5 | Luz Roncal,Rahul Garg,Saurabh Shrivastava | Quantitative weighted estimates for Rubio de Francia's Littlewood-Paley square function | 1645 | Journal of Geometric Analysis | 2021 |
| 6 | Saurabh Shrivastava,Kalachand Shuin | Corrigenda to "On composition of maximal operator and Bochner-Riesz operator at the critical index'' | 3469 | Proc. Of the Am. Math. Soc. | 2021 |
| 7 | Luz Roncal,Saurabh Shrivastava,Kalachand Shuin | Bilinear spherical maximal functions of product type | 3471 | J. Fourier Anal. Appl. | 2021 |
| 8 | Saurabh Shrivastava,Kalachand Shuin | Lp estimates for multilinear convolution operators defined with spherical measure | 3473 | Bull. London Math. Soc. | 2021 |
| 9 | Jotsaroop Kaur,Saurabh Shrivastava,Kalachand Shuin | Weighted Estimates for Bilinear Bochner-Riesz Means at the Critical Index | 3475 | Potential anal. | 2021 |
| 10 | Saurabh Shrivastava,Kalachand Shuin | Corrigenda to "On composition of maximal operator and Bochner-Riesz operator at the critical index'' | 4755 | Proc. Of the Am. Math. Soc. | 2021 |
| 11 | Ramesh Manna,Saurabh Shrivastava,Kalachand Shuin | Weighted estimates for maximal functions associated with finite type curves in \R^2 | 2533 | Nonlinear Anal. | 2021 |
| 12 | K. Jotsaroop,Saurabh Shrivastava | Unimodular bilinear Fourier multipliers on $L^p$ spaces | 2325 | Monatsh. Math. | 2020 |
| 13 | Saurabh Shrivastava,Parasar Mohanty, Ankit Bhojak,Abhishek Ghosh | Sharp weighted estimates for multi-linear Calderon-Zygmund operators on non-homogeneous spaces | 2371 | J. Pseudo-Differ. Oper. Appl. | 2020 |
| 14 | Saurabh Shrivastava,Kalachand Shuin | On composition of maximal function and Bochner-Riesz operator at the critical index | 1643 | Proc. Of the Am. Math. Soc. | 2020 |
| 15 | Kalachand Shuin,Saurabh Shrivastava,Abhishek Ghosh | Weighted boundedness of multilinear maximal function using Dirac deltas | 1407 | Rend. Circ. Mat. Palermo (2) | 2020 |
| 16 | Abhishek Ghosh,Kalachand Shuin | Local one-sided maximal function on fractional Sobolev spaces | 1945 | Math. Inequal. Appl. | 2019 |
| 17 | Saurabh Shrivastava,Parasar Mohanty,Loukas Grafakos | Multilinear square functions and multiple weights | 1223 | Mathematica Scandinavica | 2019 |
| 18 | Saurabh Shrivastava | A class of bilinear multipliers given by Littlewood–Paley decomposition | 421 | J. Math. Anal. Appl. | 2016 |
| 19 | saurabh shrivastava | Weighted and vector-valued inequalities for one-sided maximal functions | 1222 | Proceedings (mathematical Science) | 2016 |
| 20 | Saurabh Shrivastava,P K Ratnakumar | A remark on bilinear Littlewood-Paley square functions | 419 | Monatsh. Math. | 2015 |
| 21 | Saurabh Shrivastava | A note on bi-linear multipliers | 420 | Proc. Of the Am. Math. Soc. | 2015 |
| 22 | Saurabh Shrivastava,Parasar Mohanty | Fourier multipliers and Littlewood-Paley for modulation spaces | 418 | Math. Machr. | 2014 |
