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On g-functions for Hermite function expansions |
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| Authors: | Krzysztof Stempak José Luis Torrea |
| Affiliation: | 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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