Dr. Saurabh Shrivastava

Harmonic Analysis

  • Designation : Associate Professor
  • Phone : +91 755 269 1261
                 
  • Email : saurabhk@iiserb.ac.in
    • 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
Abhishek Ghosh
Kalachand Shuin
Local one-sided maximal function on fractional Sobolev spaces
Details
Math. Inequal. Appl. 2019
Saurabh Shrivastava
Luz Roncal
Rahul Garg
Quantitative weighted estimates for Rubio de Francia's Littlewood-Paley square function
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Journal of Geometric Analysis 2019
Kalachand Shuin
Saurabh Shrivastava
On composition of maximal function and Bochner-Riesz operator at the critical index
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Proc. Of the Am. Math. Soc. 2019
Kalachand Shuin
Saurabh Shrivastava
Abhishek Ghosh
Weighted boundedness of multilinear maximal function using Dirac deltas
Details
Rend. Circ. Mat. Palermo (2) 2019
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
Details
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