Weighted Spectral Cluster Bounds and a Sharp Multiplier Theorem for Ultraspherical Grushin Operators

DOI10.1093/IMRN/RNAB007zbMath1505.43007arXiv2009.02916OpenAlexW3139448072MaRDI QIDQ5082300

Paolo Ciatti, Valentina Casarino, Alessio Martini

Publication date: 16 June 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02916

zbMATH Keywords

ultraspherical polynomialsBochner-Riesz summabilityspectral multiplier theoremdegenerate elliptic operators of Grushin typeweighted spectral cluster bounds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Multipliers for harmonic analysis in several variables (42B15) Harmonic analysis on homogeneous spaces (43A85) Spherical harmonics (33C55)

Related Items (2)

An optimal multiplier theorem for Grushin operators in the plane. I ⋮ Sparse bounds for pseudo-multipliers associated to Grushin operators. II

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