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arXiv · 2307.09743

On some operator-valued Fourier pseudo-multipliers associated to Grushin operators

Sayan Bagchi·Riju Basak·Rahul Garg·Abhishek Ghosh
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Abstract

This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators $G = - \Delta_{x^{\prime}} - |x^{\prime}|^2 \Delta_{x^{\prime \prime}}$ on $\mathbb{R}^{n_1+n_2}.$

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Sayan Bagchi, Riju Basak, Rahul Garg, Abhishek Ghosh. 2023-07-19. On some operator-valued Fourier pseudo-multipliers associated to Grushin operators. https://doi.org/10.1016/j.jmaa.2024.128498

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