130790 20240131210811.0 doi 10.1007/s13324-021-00558-5 sideral 125739 ART-2021-125739 eng Gale, JE Universidad de Zaragoza (orcid)0000-0003-0398-6883 RKH spaces of Brownian type defined by Cesaro-Hardy operators 2021 We study reproducing kernel Hilbert spaces introduced as ranges of generalized Cesaro-Hardy operators, in one real variable and in one complex variable. Such spaces can be seen as formed by absolutely continuous functions on the positive half-line (or paths of infinite length) of fractional order, in the real case. A theorem of Paley-Wiener type is given which connects the real setting with the complex one. These spaces are related with fractional operations in the context of integrated Brownian processes. We give estimates of the norms of the corresponding reproducing kernels. Access copy available to the general public Unrestricted info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.57 2021 MATHEMATICS 65 / 333 = 0.195 2021 Q1 T1 MATHEMATICS, APPLIED 109 / 267 = 0.408 2021 Q2 T2 0.542 2021 Analysis 2021 Q2 Algebra and Number Theory 2021 Q2 2.4 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Miana, PJ Universidad de Zaragoza (orcid)0000-0001-9430-343X Sanchez-Lajusticia, L 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 11, 3 (2021), 119 [34 pp] Anal. math. phys. Analysis and Mathematical Physics 1664-2368 445754 http://zaguan.unizar.es/record/130790/files/texto_completo.pdf Postprint 1365678 http://zaguan.unizar.es/record/130790/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130790 articulos driver 2024-01-31-19:21:20 ARTICLE