On sequence space representations of Hörmander-Beurling spaces |
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Authors: | Joaquí n Motos,Marí a Jesú s Planells |
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Affiliation: | Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Valencia, Spain |
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Abstract: | It is shown that is isomorphic to (Ω open set in Rn, 1?p<∞, k Beurling-Björck weight) extending a Hörmander's result (the proof we give is valid in the vector-valued case, too). As a consequence, and using Vogt's representation theorems and weighted Lp-spaces of entire analytic functions, a number of results on sequence space representations of Hörmander-Beurling are given. |
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Keywords: | Beurling ultradistributions Hö rmander spaces Hö rmander-Beurling spaces |
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