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arXiv · 2504.04359

Bilinear Bochner-Riesz Means on M\'etivier groups

Sayan Bagchi·Md Nurul Molla·Joydwip Singh
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Abstract

In this paper, we study the $L^{p_1}(G) \times L^{p_2}(G)$ to $L^{p}(G)$ boundedness of the bilinear Bochner-Riesz means associated with the sub-Laplacian on M\'etivier group $G$ under the H\"older's relation $1/p = 1/p_1 + 1/p_2$, $1\leq p_1, p_2 \leq \infty$. Our objective is to obtain boundedness results, analogous to the Euclidean setting, where the Euclidean dimension in the smoothness threshold is possibly replaced by the topological dimension of the underlying M\'etivier group $G$.

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Sayan Bagchi, Md Nurul Molla, Joydwip Singh. 2025-04-06. Bilinear Bochner-Riesz Means on M\'etivier groups. https://doi.org/10.1016/j.jfa.2026.111397

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