Add to Outlook calendar Add to Google calendar

APRG Seminar

Title: Bilinear Bochner-Riesz Means on Métivier Groups: Topological versus Homogeneous dimension
Speaker: Joydwip Singh (IISER Kolkata)
Date: 19 February 2025
Time: 3 pm
Venue: Microsoft Teams (online)

In this talk, we discuss about the $L^{p_1}(G) \times L^{p_2}(G)$ to $L^{p}(G)$ boundedness of bilinear Bochner-Riesz means, $\mathcal{B}^{\alpha}$ associated to the sub-Laplacians, $\mathcal{L}$ on Métivier groups, $G$ with $(p_1,p_2,p)$ satisfies the Hölder’s relation, that is $1/p = 1/p_1 + 1/p_2$ and $1\leq p_1, p_2 \leq \infty$. We prove that $\mathcal{B}^{\alpha}$ is bounded for $\alpha > \alpha(p_1, p_2)$ where $\alpha(p_1, p_2)$ is in terms of $d:=d_1+d_2$, the topological dimension of $G$, which is strictly smaller than the homogeneous dimension $Q:=d_1+2d_2$ of $G$. This talk is based on joint work with Sayan Bagchi and Md Nurul Molla.


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 17 Feb 2025