Joydwip Singh

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math.AP2026

On Spectral multiplier theorem for sub-Laplacians with drift on Métivier groups

Nishta Garg, Joydwip Singh

In this paper, we prove a spectral multiplier theorem for sub-Laplacians with drift on Métivier groups. We improve the result of [Martini, Ottazzi and Vallarino, Rev. Mat. Iberoam,…

math.AP2026

Stein's square function associated with the Bochner-Riesz means on Métivier groups and its applications

Joydwip Singh

In this paper, we study the $L^{p}$ -boundedness of Stein's square function $S^{α} (L)$ associated with the sub-Laplacian $L$ on Métivier group $G$ . A key…

math.AP2025

Bilinear Bochner-Riesz Means for Grushin Operators

Sayan Bagchi, Md Nurul Molla, Joydwip Singh

This paper is devoted to the study of $L^{p_{1}} \times L^{p_{2}}$ to $L^{p}$ boundedness of the bilinear Bochner-Riesz mean $B^{α}$ associated with the Grushin operator $\math…

math.AP2025

Bochner-Riesz commutators for Grushin Operators

Md Nurul Molla, Joydwip Singh

In this paper, we study the boundedness of Bochner-Riesz commutator $[b, S^{α} (L)] (f) = b S^{α} (L) (f) - S^{α} (L) (b f)$ of a $B M O^{ϱ} (R^{d})$ f…

math.AP2025

Bilinear Bochner-Riesz Means on Métivier groups

Sayan Bagchi, Md Nurul Molla, Joydwip Singh

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 Métivier group $G$ und…