doi:10.4153/S0008439522000406engOliva Maza, J.On Hardy kernels as reproducing kernelsART-2023-129649Hardy 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.2023http://zaguan.unizar.es/record/11900810.4153/S0008439522000406http://zaguan.unizar.es/record/119008oai:zaguan.unizar.es:119008info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00info:eu-repo/grantAgreement/ES/MINECO/BES-2017-081552Canadian Mathematical Bulletin 66, 2 (2023), 428-442by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess