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arXiv · 2111.10098

On $L^2$-boundedness of pseudo-multipliers associated to the Grushin operator

Sayan Bagchi·Rahul Garg
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Abstract

In this article we define analogues of pseudo-differential operators associated to the joint functional calculus of the Grushin operator using their spectral resolution, and study Calder\'on--Vaillancourt-type theorems for these operators.

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Sayan Bagchi, Rahul Garg. 2021-11-19. On $L^2$-boundedness of pseudo-multipliers associated to the Grushin operator. https://doi.org/10.1016/j.jfa.2023.110252

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