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arXiv · 2509.00327

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator

Riju Basak·K. Jotsaroop
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Abstract

We prove various equivalent characterisations of the Hardy space $H^p_{\mathcal{L}}(\mathbb{C}^n)$ for $0 0$ on $H^p_{\mathcal{L}}(\mathbb{C}^n)$. More precisely we prove that it is a bounded operator from $H^p_{\mathcal{L}}(\mathbb{C}^n)$ to $L^p(\mathbb{C}^n)$ for $ 0<p\leq 1$ and $\delta\geq (2n-1)\left(1/p-1/2\right)$.

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Riju Basak, K. Jotsaroop. 2025-08-30. On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator. https://arxiv.org/abs/2509.00327

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