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Title: Grushin multipliers and Toeplitz operators
Speaker: Jotsaroop Kaur
Date: 31 May 2012
Time: 4:00 - 5:00 p.m.
Venue: Department of Mathematics, Lecture Hall I

The Grushin operator is defined as $G:=-\Delta-|x|^2\partial_t^2$ on $\mathbb{R}^{n+1}$. We study the boundedness of the multipliers $m(G)$ of $G$ on $L^p(\mathbb{R}^{n+1})$. We prove the analogue of the Hormander-Mihlin theorem for $m(G)$. We also study the boundedness of the solution of the wave equation corresponding to $G$ on $L^p(\mathbb{R}^{n+1})$. The main tool in studying the above is the operator-valued Fourier multiplier theorem by Lutz Weis.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 13 Jun 2024