Weighted restriction type estimates for grushin operators and application to spectral multipliers and bochner-riesz summability

Abstract

We prove weighted restriction type estimates for Grushin operators. These estimates are then used to prove sharp spectral multiplier theorems as well as Bochner-Riesz summability results with sharp exponent.

References in corpus (2)

• The restriction theorem for the Grushin operators
• Riesz transform, Gaussian bounds and the method of wave equation