On \(L^2\)-boundedness of pseudo-multipliers associated to the Grushin operator

DOI10.1016/j.jfa.2023.110252arXiv2111.10098OpenAlexW3215824841MaRDI QIDQ6184867

Publication date: 5 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.10098

zbMATH Keywords

pseudo-differential operator Grushin operator Hermite operator Calderón-Vaillancourt theorem

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Harmonic analysis on homogeneous spaces (43A85) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30)

Related Items (1)

On the \(L^2\) boundedness of pseudo-multipliers for Hermite expansions

Cites Work

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Quantization on nilpotent Lie groups
Riesz transforms and multipliers for the Grushin operator
On Hermite pseudo-multipliers
Pseudodifferential operators associated with a semigroup of operators
Analysis of degenerate elliptic operators of Grušin type
The Weyl transform and bounded operators on \(L^p(\mathbb{R}^n)\).
Plancherel-type estimates and sharp spectral multipliers
Pseudo-multipliers and smooth molecules on Hermite Besov and Hermite Triebel-Lizorkin spaces
A sharp multiplier theorem for Grushin operators in arbitrary dimensions
Hermite pseudo-multipliers on new Besov and Triebel-Lizorkin spaces
Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators
Pseudodifferential operators on spaces of distributions associated with non-negative self-adjoint operators
Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres
From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere
On the boundedness of pseudo-differential operators
On local solvability of linear partial differential equations
Phase-space analysis and pseudodifferential calculus on the Heisenberg group
Fourier multipliers on the Heisenberg group revisited
Pseudo-Differential Operators and Symmetries
Harmonic Analysis in Phase Space. (AM-122)
Hermite multipliers and pseudo-multipliers
Spectral Multipliers of Self-Adjoint Operators on Besov and Triebel–Lizorkin Spaces Associated to Operators
On local solvability of linear partial differential equations part I: Necessary conditions
On local solvability of linear partial differential equations—part II. Sufficient conditions
Lie group approach to Grushin operators
Sparse bounds for pseudo-multipliers associated to Grushin operators. I.

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