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arXiv · 2608.09358

On Sobolev spaces for the Grushin operator

Nishta Garg·Rahul Garg
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Abstract

We define Sobolev spaces associated with the Grushin operator with or without drift. We study some of their norm equivalences and establish embedding and algebra properties. We also prove the boundedness of the Riesz transforms on these spaces.

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Nishta Garg, Rahul Garg. 2026-08-10. On Sobolev spaces for the Grushin operator. https://arxiv.org/abs/2608.09358

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