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Ítem Some embedding theorems for Hörmander-Beurling spaces(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010-04-15) Motos, Joaquin; Jesus Planells, Maria; Villegas G, Jairo; Motos, Joaquin; Jesus Planells, Maria; Villegas G, Jairo; Universidad EAFIT. Departamento de Ciencias; Matemáticas y AplicacionesIn this paper we prove a number of results on sequence space representations and embedding theorems of Hörmander-Beurling spaces. As a consequence and using sharp results of Meise, Taylor and Vogt, a result of Kaballo on short sequences and hypoelliptic operators is extended to ?-hypoelliptic differential operators and to the vector-valued setting. © 2009 Elsevier Inc. All rights reserved.