WEIGHTED RESTRICTION TYPE ESTIMATES FOR GRUSHIN OPERATORS AND APPLICATION TO SPECTRAL MULTIPLIERS AND BOCHNER-RIESZ SUMMABILITY

Peng Chen (1) , El Maati Ouhabaz (1)

1 IMB - Institut de Mathématiques de Bordeaux

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.

Mots clés: Grushin operators; spectral multipliers; Bochner-Riesz means

Domaines: Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

Peng Chen, El Maati Ouhabaz. WEIGHTED RESTRICTION TYPE ESTIMATES FOR GRUSHIN OPERATORS AND APPLICATION TO SPECTRAL MULTIPLIERS AND BOCHNER-RIESZ SUMMABILITY. Mathematische Zeitschrift, 2016, 3-4, pp.663-678. ⟨hal-01006356⟩