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p-Compactness of Bloch maps
dc.contributor.author | Jiménez Vargas, Antonio | |
dc.contributor.author | Ruiz Casternado, David | |
dc.date.accessioned | 2024-02-29T19:24:04Z | |
dc.date.available | 2024-02-29T19:24:04Z | |
dc.date.issued | 2024-02-21 | |
dc.identifier.issn | 2008-8752 | |
dc.identifier.issn | 2639-7390 | |
dc.identifier.uri | http://hdl.handle.net/10835/16070 | |
dc.description.abstract | Influenced by the concept of a p-compact operator due to Sinha and Karn (Stud Math 150(1): 17–33, 2002), we introduce p-compact Bloch maps of the open unit disk D ⊆ C to a complex Banach space X, and obtain its most outstanding properties: surjective Banach ideal property, Möbius invariance, linearisation on the Bloch-free Banach space over D, inclusion properties, factorisation of their derivatives, and transposition on the normalized Bloch space. We also present right p-nuclear Bloch maps of D to X and study its relation with p-compact Bloch maps. | es_ES |
dc.language.iso | en | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Vector-valued holomorphic function | es_ES |
dc.subject | Bloch function | es_ES |
dc.subject | p-Compact operator | es_ES |
dc.subject | p-Compact Bloch function | es_ES |
dc.title | p-Compactness of Bloch maps | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | https://doi.org/10.1007/s43034-024-00321-4 |