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
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