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Dr. Saurabh Shrivastava

Assistant Professor
Mathematics
Indian Institute of Science Education and Research, Bhopal
India

Biography

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 Interest

Harmonic Analysis,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

Publications

  • Saurabh Shrivastava Parasar Mohanty Fourier multipliers and Littlewood-Paley for modulation spaces Math. Machr. 2014

  • Saurabh Shrivastava P K Ratnakumar A remark on bilinear Littlewood-Paley square functions Monatsh. Math. 2015

  • Saurabh Shrivastava A note on bi-linear multipliers Proc. Of the Am. Math. Soc. 2015

  • Saurabh Shrivastava A class of bilinear multipliers given by Littlewood–Paley decomposition J. Math. Anal. Appl. 2016

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