Global regularity in ultradifferentiable classes |
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| Authors: | Angela A Albanese David Jornet |
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| Institution: | 1. Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Via Per Arnesano, P.O. Box 193, 73100, Lecce, Italy
2. Instituto Universitario de Matemática Pura y Aplicada IUMPA-UPV, Universitat Politècnica de València, C/Camino de Vera, s/n, 46022, Valencia, Spain
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| Abstract: | We study ω-regularity of the solutions of certain operators that are globally C ∞-hypoelliptic in the N-dimensional torus. We also apply these results to prove the global ω-regularity for some classes of sublaplacians. In this way, we extend previous work in the setting of analytic and Gevrey classes. Different examples on local and global ω-hypoellipticity are also given. |
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