Hermite multipliers and pseudo-multipliers

DOI10.1090/S0002-9939-96-03486-7zbMath0889.42012OpenAlexW1872354955MaRDI QIDQ4890274

Jay B. Epperson

Publication date: 23 June 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03486-7

zbMATH Keywords

Hermite operatorHermite multipliersHermite pseudo-multipliersHörmander-Mikhlin multiplier theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (11)

Besov spaces for the Schrödinger operator with barrier potential ⋮ Sparse bounds for pseudo-multipliers associated to Grushin operators. I. ⋮ Hermite Besov and Triebel–Lizorkin spaces and applications ⋮ On the \(L^2\) boundedness of pseudo-multipliers for Hermite expansions ⋮ On \(L^2\)-boundedness of pseudo-multipliers associated to the Grushin operator ⋮ Spectral multipliers for Schrödinger operators ⋮ On Hermite pseudo-multipliers ⋮ Pseudo-multipliers and smooth molecules on Hermite Besov and Hermite Triebel-Lizorkin spaces ⋮ Hermite pseudo-multipliers on new Besov and Triebel-Lizorkin spaces ⋮ Paley-Littlewood decomposition for sectorial operators and interpolation spaces ⋮ L-BMO bounds for pseudo-multipliers associated with the harmonic oscillator

Cites Work

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• Multipliers for Hermite expansions
• Triebel-Lizorkin spaces for Hermite expansions
• Mean Convergence of Hermite and Laguerre Series. I

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