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On some operator-valued Fourier pseudo-multipliers associated to Grushin operators (2307.09743v1)
Published 19 Jul 2023 in math.AP, math.CA, and math.FA
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 $\mathbb{R}{n_1+n_2}.$