2021-04-122010-04-150022247X10960813WOS;000273958300014SCOPUS;2-s2.0-72149103268http://hdl.handle.net/10784/27681In 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.enghttps://v2.sherpa.ac.uk/id/publication/issn/0022-247X?-Hypoelliptic differential operatorsBeurling ultradistributionsHörmander spacesHörmander-Beurling spacesarticle2021-04-12Motos, JoaquinJesus Planells, MariaVillegas G, Jairo10.1016/j.jmaa.2009.11.030