Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators

DOI10.1007/S11785-011-0203-9zbMath1279.42025arXiv1105.4562OpenAlexW4302065911MaRDI QIDQ371841

Jezabel Curbelo, Alejandro J. Castro, Jorge J. Betancor, Lourdes Rodríguez-Mesa

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4562

zbMATH Keywords

UMD spacesimaginary powersLaguerre operatorLaplace transform type multipliers

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General harmonic expansions, frames (42C15)

Related Items (5)

Higher-order Riesz transforms in the inverse Gaussian setting and UMD Banach spaces ⋮ Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces ⋮ Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in the Hermite setting ⋮ 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

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