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On g-functions for Hermite function expansions
Authors:Krzysztof Stempak  José Luis Torrea
Institution:23601. Instytut Matematyki, Politechnika Wroc?awska, Wyb. Wyspiańskiego 27, 50-370 Wroc?aw, Poland
23602. Departamento de Matemáticas, Universidad Autónoma de Madrid, Ciudad Universitaria de Canto Blanco, 28049 Madrid, Espa?a
Abstract:Summary We prove weighted Lp-inequalities for the gradient square function associated with the Poisson semigroup in the multi-dimensional Hermite function expansions setting. In the proof a technique of vector valued Calderón-Zygmund operators is used.
Keywords:g-functions  Hermite expansions  heat-diffusion and Poisson semigroups  vector valued Calderón-Zygmund operators
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