The boundedness of Riesz transforms for Hermite expansions on the Hardy spaces

DOI10.1016/J.JMAA.2011.06.075zbMath1237.42016OpenAlexW2063057548MaRDI QIDQ641612

Ji Zheng Huang

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.06.075

zbMATH Keywords

Hardy spaceRiesz transformHermite expansionsLusin area integral

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) (H^p)-spaces (42B30)

Related Items (9)

Hardy-Sobolev spaces associated with Hermite expansions and interpolation ⋮ A new version of Carleson measure associated with Hermite operator ⋮ Higher-order Riesz transforms of Hermite operators on new Besov and Triebel-Lizorkin spaces ⋮ \( Q_\alpha^{- 1}\) spaces for Hermite operator and their applications in a class of Hermite-dissipative equations ⋮ A new characterization of the Besov spaces associated with Hermite operator ⋮ Higher order Riesz transforms for Hermite expansions ⋮ Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in the Hermite setting ⋮ Fractional Carleson measure associated with Hermite operator ⋮ Sobolev and variational capacities in the Hermite setting and their applications

Cites Work

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• Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Riesz transforms and the wave equation for the hermite operator

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