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arXiv · 2609.05940

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

Sayan Bagchi·Nishta Garg·Rahul Garg
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Abstract

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.

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Sayan Bagchi, Nishta Garg, Rahul Garg. 2026-09-05. On Besov and Triebel-Lizorkin spaces associated with the Grushin operator. https://arxiv.org/abs/2609.05940

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