Villegas G., Jairo On vector-valued Hörmander-Beurling spaces. (English) Zbl 1057.46030 Extr. Math. 18, No. 1, 91-106 (2003). The author extends Hörmander-Beurling spaces to the vector-valued setting and studies some of their properties: he calculates the dual of \(B_{p,k}(E)\) without supposing that \(E'\) possesses the Radon-Nikodým property, he generalizes Favini’s result about interpolation of Hörmander spaces, and he proves that the spaces \(B_{p,k}(E)\) and \(B_{\infty,k}^0 (E)\) have the property of approximation by cutting. Reviewer: Josef Wloka (Kiel) Cited in 3 Documents MSC: 46F05 Topological linear spaces of test functions, distributions and ultradistributions 46E40 Spaces of vector- and operator-valued functions PDFBibTeX XMLCite \textit{J. Villegas G.}, Extr. Math. 18, No. 1, 91--106 (2003; Zbl 1057.46030) Full Text: EuDML