On \(g\)-functions for Laguerre function expansions of Hermite type

DOI10.1007/s12044-011-0005-zzbMath1275.42045OpenAlexW2079827737MaRDI QIDQ353969

Błażej Wróbel

Publication date: 17 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-011-0005-z

zbMATH Keywords

square functionsLaguerre function expansions of Hermite typevector-valued Calderón-Zygmund operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (3)

Laplace type multipliers for Laguerre expansions of Hermite type ⋮ Uniformly convex and smooth Banach spaces and \(L^p\)-boundedness properties of Littlewood-Paley and area functions associated with semigroups ⋮ UMD Banach spaces and square functions associated with heat semigroups for Schrödinger, Hermite and Laguerre operators

Cites Work

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• Imaginary powers of a Laguerre differential operator
• Riesz transforms and conjugacy for Laguerre function expansions of Hermite type
• On weighted transplantation and multipliers for Laguerre expansions
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• On g-functions for Hermite function expansions
• Riesz transforms for multi-dimensional Laguerre function expansions
• Transference between Laguerre and Hermite settings
• The development of square functions in the work of A. Zygmund
• Rational Bounds for Ratios of Modified Bessel Functions
• Heat-diffusion and Poisson integrals for Laguerre and special Hermite expansions on weighted L^pspaces

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