Continuous embedding between P-de Branges spaces
In this paper we study the continuity of the embedding operator ℓ : ℋp(E) ↪ ℋ q(E) when 0 < p < q ⩽ ∞. The necessary and sufficient condition has already been described in [10] if p > 1. In this work, we address the problem when p = 1, using a new approach, but asking some additional hypoth...
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De Gruyter
2021
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oai:doaj.org-article:59ec5e217b4e4bbab41f4063da4b7d4e2021-12-05T14:10:45ZContinuous embedding between P-de Branges spaces2299-328210.1515/conop-2020-0118https://doaj.org/article/59ec5e217b4e4bbab41f4063da4b7d4e2021-08-01T00:00:00Zhttps://doi.org/10.1515/conop-2020-0118https://doaj.org/toc/2299-3282In this paper we study the continuity of the embedding operator ℓ : ℋp(E) ↪ ℋ q(E) when 0 < p < q ⩽ ∞. The necessary and sufficient condition has already been described in [10] if p > 1. In this work, we address the problem when p = 1, using a new approach, but asking some additional hypothesis about the Hermite-Biehler function E. We give also a different proof for the case p > 1.Bellavita CarloDe Gruyterarticlede branges spacescontinuous embedding operator30h99MathematicsQA1-939ENConcrete Operators, Vol 8, Iss 1, Pp 125-134 (2021) |
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de branges spaces continuous embedding operator 30h99 Mathematics QA1-939 |
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de branges spaces continuous embedding operator 30h99 Mathematics QA1-939 Bellavita Carlo Continuous embedding between P-de Branges spaces |
description |
In this paper we study the continuity of the embedding operator ℓ : ℋp(E) ↪ ℋ q(E) when 0 < p < q ⩽ ∞. The necessary and sufficient condition has already been described in [10] if p > 1. In this work, we address the problem when p = 1, using a new approach, but asking some additional hypothesis about the Hermite-Biehler function E. We give also a different proof for the case p > 1. |
format |
article |
author |
Bellavita Carlo |
author_facet |
Bellavita Carlo |
author_sort |
Bellavita Carlo |
title |
Continuous embedding between P-de Branges spaces |
title_short |
Continuous embedding between P-de Branges spaces |
title_full |
Continuous embedding between P-de Branges spaces |
title_fullStr |
Continuous embedding between P-de Branges spaces |
title_full_unstemmed |
Continuous embedding between P-de Branges spaces |
title_sort |
continuous embedding between p-de branges spaces |
publisher |
De Gruyter |
publishDate |
2021 |
url |
https://doaj.org/article/59ec5e217b4e4bbab41f4063da4b7d4e |
work_keys_str_mv |
AT bellavitacarlo continuousembeddingbetweenpdebrangesspaces |
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1718371762699239424 |