Higher Riesz transforms and imaginary powers associated to the harmonic oscillator

DOI10.1007/s10474-006-0033-9zbMath1111.42002OpenAlexW2153244429MaRDI QIDQ858062

José Luis Torrea, Krzystztof Stempak

Publication date: 8 January 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0033-9

zbMATH Keywords

Calderón-Zygmund operatorsconjugate Poisson integralshigher order Riesz transformsimaginary powers of harmonic oscillatormulti-dimensional Hermite expansions

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (14)

On harmonic analysis operators in Laguerre-Dunkl and Laguerre-symmetrized settings ⋮ ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS ⋮ Riesz transforms for multi-dimensional Laguerre function expansions ⋮ Imaginary powers of \((k, 1)\)-generalized harmonic oscillator ⋮ Higher-order Riesz transforms of Hermite operators on new Besov and Triebel-Lizorkin spaces ⋮ Laplace type multipliers for Laguerre expansions of Hermite type ⋮ \(\gamma \)-Radonifying operators and UMD-valued Littlewood-Paley-Stein functions in the Hermite setting on BMO and Hardy spaces ⋮ Imaginary powers of a Laguerre differential operator ⋮ MULTIPLIERS OF LAPLACE TRANSFORM TYPE IN CERTAIN DUNKL AND LAGUERRE SETTINGS ⋮ Regularity theory for the fractional harmonic oscillator ⋮ Calderón-Zygmund operators related to Jacobi expansions ⋮ Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in the Hermite setting ⋮ Area Littlewood-Paley functions associated with Hermite and Laguerre operators ⋮ High order Riesz transforms and mean value formula for generalized translate operator

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