\(L^p\)-\(L^q\) boundedness of Fourier multipliers associated with the anharmonic oscillator
DOI10.1007/s00041-023-10047-xarXiv2004.07801OpenAlexW3017078554MaRDI QIDQ6201295
Marianna Chatzakou, Vishvesh Kumar
Publication date: 25 March 2024
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.07801
Fourier multipliersPaley inequalityanharmonic oscillatorheat kernelsspectral multipliersHausdorff-Young-Paley inequality\(L^p\)-\(L^q\) boundedness
Multipliers for harmonic analysis in several variables (42B15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30)
Cites Work
- On Hermite pseudo-multipliers
- Nuclear pseudo-differential operators in Besov spaces on compact Lie groups
- Estimates for translation invariant operators in \(L^p\) spaces
- Spectral theory of non-commutative harmonic oscillators: an introduction
- \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
- Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
- Lower and upper bounds for the norm of multipliers of multiple trigonometric Fourier series in Lebesgue spaces
- Foundations of time-frequency analysis
- Fourier multipliers, symbols, and nuclearity on compact manifolds
- On a class of anharmonic oscillators
- \(L^p-L^q\) multipliers on locally compact groups
- Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups
- \(L^p\)-\(L^q\) boundedness of spectral multipliers of the anharmonic oscillator
- Dixmier traces for discrete pseudo-differential operators
- Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and \(L^p\)-\(L^q\) Fourier multipliers on compact homogeneous manifolds
- \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\)
- Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary
- On nuclear \(L^p\)-multipliers associated to the harmonic oscillator
- \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
- Schatten-von Neumann properties in the Weyl calculus, and calculus of metrics on symplectic vector spaces
- \(L^p\) Fourier multipliers on compact Lie groups
- Approximation property and nuclearity on mixed‐normLp, modulation and Wiener amalgam spaces
- $L^p$-nuclear pseudo-differential operators on $\mathbb {Z}$ and $\mathbb {S}^1$
- Hardy–Littlewood–Paley inequalities and Fourier multipliers on SU(2)
- Nonharmonic Analysis of Boundary Value Problems
- Grothendieck‐Lidskiǐ theorem for subspaces of Lp‐spaces
- Hardy-Littlewood inequality and $L^p$-$L^q$ Fourier multipliers on compact hypergroups
- Multilinear analysis for discrete and periodic pseudo-differential operators inLp-spaces
- Theorems on Fourier Series and Power Series (II)†
- Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
- Produits tensoriels topologiques et espaces nucléaires
- L p -L q Boundedness of (k, a)-Fourier Multipliers with Applications to Nonlinear Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: \(L^p\)-\(L^q\) boundedness of Fourier multipliers associated with the anharmonic oscillator
