130789 20240131210811.0 doi 10.1016/j.jmaa.2020.124131 sideral 117712 ART-2020-117712 eng Galé, José E. Universidad de Zaragoza (orcid)0000-0003-0398-6883 Hilbertian Hardy-Sobolev spaces on a half-plane 2020 In this paper we deal with a scale of reproducing kernel Hilbert spaces H2 (n), n=0, which are linear subspaces of the classical Hilbertian Hardy space on the right-hand half-plane C+. They are obtained as ranges of the Laplace transform in extended versions of the Paley-Wiener theorem which involve absolutely continuous functions of higher degree. An explicit integral formula is given for the reproducing kernel Kz, n of H2 (n), from which we can find the estimate ¿Kz, n¿~|z|-1/2 for z¿C+. Then composition operators Cf:H2 (n)¿H2 (n), Cff=f°f, on these spaces are discussed, giving some necessary and some sufficient conditions for analytic maps f:C+¿C+ to induce bounded composition operators. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E26-17R info:eu-repo/grantAgreement/ES/MCYTS-MTM2016-77710-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.583 2020 MATHEMATICS 63 / 330 = 0.191 2020 Q1 T1 MATHEMATICS, APPLIED 109 / 265 = 0.411 2020 Q2 T2 0.95 2020 Applied Mathematics 2020 Q1 Analysis 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Matache, Valentin Miana, Pedro J. Universidad de Zaragoza (orcid)0000-0001-9430-343X Sánchez-Lajusticia, Luis 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 489, 1 (2020), 124131 1-25 J. math. anal. appl. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 0022-247X 424840 http://zaguan.unizar.es/record/130789/files/texto_completo.pdf Postprint 1336614 http://zaguan.unizar.es/record/130789/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130789 articulos driver 2024-01-31-19:21:12 ARTICLE