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

El Maati Ouhabaz (IMB); Peng Chen (IMB)

arxiv: 1406.4025 · v1 · pith:K2G6KVOZnew · submitted 2014-06-16 · 🧮 math.AP · math.FA

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

Peng Chen (IMB) , El Maati Ouhabaz (IMB) This is my paper

classification 🧮 math.AP math.FA

keywords estimatesbochner-rieszgrushinoperatorsproverestrictionsharpspectral

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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.

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

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