Sayan Bagchi, Riju Basak, Rahul Garg, Abhishek Ghosh
Published 2023-07-19Version 1
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 $\mathbb{R}^{n_1+n_2}.$
Comments: This work consists of results extracted from arXiv:2112.06634v1. arXiv admin note: substantial text overlap with arXiv:2112.06634
Sparse bounds for pseudo-multipliers associated to Grushin operators, I
Sparse bounds for pseudo-multipliers associated to Grushin operators, II
A sharp multiplier theorem for Grushin operators in arbitrary dimensions
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