135328 20260217205535.0 doi 10.1002/mana.202300527 sideral 138608 ART-2024-138608 eng Aron, Richard Linearization of holomorphic Lipschitz functions 2024 Access copy available to the general public Unrestricted Let X and Y complex Banach spaces with denoting the open unit ball of . This paper studies various aspects of the holomorphic Lipschitz space , endowed with the Lipschitz norm. This space consists of the functions in the intersection of the sets of Lipschitz mappings and of bounded holomorphic mappings, from to . Thanks to the Dixmier–Ng theorem, is indeed a dual space, whose predual shares linearization properties with both the Lipschitz‐free space and Dineen–Mujica predual of . We explore the similarities and differences between these spaces, and combine techniques to study the properties of the space of holomorphic Lipschitz functions. In particular, we get that contains a 1‐complemented subspace isometric to and that has the (metric) approximation property whenever has it. We also analyze when is a subspace of , and we obtain an analog of Godefroy's characterization of functionals with a unique norm preserving extension in the holomorphic Lipschitz context. info:eu-repo/grantAgreement/ES/DGA/E48-20R info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2021-122126NB-C32 info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2021-122126NB-C33 info:eu-repo/grantAgreement/ES/MICINN/PID2022-137294NB-I00 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 0.8 2024 MATHEMATICS 195 / 492 = 0.396 2024 Q2 T2 0.669 2024 Mathematics (miscellaneous) 2024 Q2 1.3 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Dimant, Verónica García-Lirola, Luis C. Universidad de Zaragoza (orcid)0000-0001-9211-4475 Maestre, Manuel 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 297, 8 (2024), 3024-3051 Math. Nachr. Mathematische Nachrichten 0025-584X 426594 http://zaguan.unizar.es/record/135328/files/texto_completo.pdf Versión publicada 1851252 http://zaguan.unizar.es/record/135328/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:135328 articulos driver 2026-02-17-20:34:01 ARTICLE