The Riesz transform for the harmonic oscillator in spherical coordinates
DOI10.1007/s00365-014-9249-zzbMath1305.42028arXiv1304.0702OpenAlexW2962899387MaRDI QIDQ485353
Publication date: 9 January 2015
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.0702
Riesz transformsharmonic oscillatorvector-valued inequalitiesmixed-norm spacesweighted inequalityLaguerre expansionsRubio de Francia extrapolation theorem
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis and spherical functions (43A90) Potential operators (47G40)
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Cites Work
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- Weighted Sobolev orthogonal polynomials on the unit ball
- Extrapolation of weights revisited: new proofs and sharp bounds
- The spaces \(L^ p\), with mixed norm
- Dimension free estimates for Riesz transforms associated to the harmonic oscillator on \(\mathbb R^n\)
- Riesz transforms and conjugacy for Laguerre function expansions of Hermite type
- The disc multiplier
- Transference principles for radial multipliers
- Radial weights and mixed norm inequalities for the disc multiplier
- The convergence of multidimensional Fourier-Bessel series
- Poisson integrals and Riesz transforms for Hermite function expansions with weights.
- \(L^p\)-dimension free boundedness for Riesz transforms associated to Hermite functions
- Two weight extrapolation via the maximal operator
- Riesz transforms for multi-dimensional Laguerre function expansions
- Negative Powers of Laguerre Operators
- Orthogonality of Hermite polynomials in superspace and Mehler type formulae
- Vector-valued extensions for fractional integrals of Laguerre expansions
- Factorization Theory and A P Weights
- Riesz transforms and the wave equation for the hermite operator
- Factorization and extrapolation of weights
- Inequalities for the maximal function relative to a metric
- On conjugate Poisson integrals and Riesz transforms for the Hermite expansions
- Classical Expansions and Their Relation to Conjugate Harmonic Functions
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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