119008 20241125101128.0 doi 10.4153/S0008439522000406 sideral 129649 ART-2023-129649 eng Oliva Maza, J. Universidad de Zaragoza (orcid)0000-0001-8546-5883 On Hardy kernels as reproducing kernels 2023 Access copy available to the general public Unrestricted Hardy kernels are a useful tool to define integral operators on Hilbertian spaces like L2 (R+) or H2 (C+). These kernels entail an algebraic L1-structure which is used in this work to study the range spaces of those operators as reproducing kernel Hilbert spaces. We obtain their reproducing kernels, which in the H2 (R+) case turn out to be Hardy kernels as well. In the H2 (C+) scenario, the reproducing kernels are given by holomorphic extensions of Hardy kernels. Other results presented here are theorems of Paley-Wiener type, and a connection with one-sided Hilbert transforms. info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00 info:eu-repo/grantAgreement/ES/MINECO/BES-2017-081552 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.5 2023 MATHEMATICS 326 / 490 = 0.665 2023 Q3 T3 0.472 2023 Mathematics (miscellaneous) 2023 Q2 1.3 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 66, 2 (2023), 428-442 Can. math. bull. Canadian Mathematical Bulletin 0008-4395 416495 http://zaguan.unizar.es/record/119008/files/texto_completo.pdf Versión publicada 1530043 http://zaguan.unizar.es/record/119008/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:119008 articulos driver 2024-11-22-11:58:07 ARTICLE