Triebel-Lizorkin spaces for Hermite expansions

DOI10.4064/sm-114-1-87-103zbMath0828.42017OpenAlexW2089729043MaRDI QIDQ4839782

Jay B. Epperson

Publication date: 11 December 1995

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216181

zbMATH Keywords

Triebel-Lizorkin spacesLittlewood-Paley theoryHermite expansions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (15)

Weighted embeddings for function spaces associated with Hermite expansions ⋮ Besov spaces for the Schrödinger operator with barrier potential ⋮ Hermite Besov and Triebel–Lizorkin spaces and applications ⋮ Spectral multipliers for Schrödinger operators ⋮ Decomposition of spaces of distributions induced by Hermite expansions ⋮ Hermite multipliers and pseudo-multipliers ⋮ A continuous characterization of Triebel-Lizorkin spaces associated with Hermite expansions ⋮ Triebel-Lizorkin spaces associated with Laguerre and Hermite expansions ⋮ Besov and {T}riebel-{L}izorkin spaces associated with {L}aguerre expansions of {H}ermite type ⋮ On the wave equation associated to the Hermite and the twisted Laplacian ⋮ Littlewood-Paley theorem for Schrödinger operators ⋮ Littlewood-Paley theorem for Schrödinger operators ⋮ Pseudo-multipliers and smooth molecules on Hermite Besov and Hermite Triebel-Lizorkin spaces ⋮ Paley-Littlewood decomposition for sectorial operators and interpolation spaces ⋮ Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces

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