Author

Sayan Bagchi

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Preprint Sep 2026

On Besov and Triebel-Lizorkin spaces associated with the Grushin operator

In this article, we define classical and non-classical Besov and Triebel--Lizorkin spaces associated with the Grushin operator with or without drift. We establish various characterisations of these spaces, and study their complex interpolation, embedding properties, and fractional Leibniz rules.

Sayan Bagchi, N. Garg, Rahul Garg · 0 citations

Preprint Aug 2026

Bilinear Bochner-Riesz Means on the Complex Sphere

In this paper, we establish the boundedness of the bilinear Bochner-Riesz means $\mathcal{B}^{\alpha}_R$ on the complex sphere $\mathbb{S}$. More precisely, we prove that $\mathcal{B}^{\alpha}_R$ is bounded from $L^{p_1}(\mathbb{S}) \times L^{p_2}(\mathbb{S}) \to L^p(\mathbb{S})$ where $1/p_1+1/p_2=1/p$ and $1\leq p_1,...

Sayan Bagchi, Md Nurul Molla, Joydwip Singh et al. · 0 citations