Some embedding theorems for Hörmander–Beurling spaces

In 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 ω-hypoelliptic differential operators and to the vector-valued setting.