Some embedding theorems for Hörmander-Beurling spaces

[EN] In this paper we prove a number of results on sequence space representations and embedding theorems of Hormander-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 omega-hypoelliptic differential operators and to the vector-valued setting. (C) 2009 Elsevier Inc. All rights reserved.The author is partially supported by Project MTM2008-04594, Spain.Motos Izquierdo, J.; Planells Gilabert, MJ.; Villegas G, J. (2010). Some embedding theorems for Hörmander-Beurling spaces. Journal of Mathematical Analysis and Applications. 364(2):473-482. doi:10.1016/j.jmaa.2009.11.030S473482364