000130790 001__ 130790 000130790 005__ 20240131210811.0 000130790 0247_ $$2doi$$a10.1007/s13324-021-00558-5 000130790 0248_ $$2sideral$$a125739 000130790 037__ $$aART-2021-125739 000130790 041__ $$aeng 000130790 100__ $$0(orcid)0000-0003-0398-6883$$aGale, JE$$uUniversidad de Zaragoza 000130790 245__ $$aRKH spaces of Brownian type defined by Cesaro-Hardy operators 000130790 260__ $$c2021 000130790 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130790 5203_ $$aWe 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. 000130790 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000130790 590__ $$a1.57$$b2021 000130790 591__ $$aMATHEMATICS$$b65 / 333 = 0.195$$c2021$$dQ1$$eT1 000130790 591__ $$aMATHEMATICS, APPLIED$$b109 / 267 = 0.408$$c2021$$dQ2$$eT2 000130790 592__ $$a0.542$$b2021 000130790 593__ $$aAnalysis$$c2021$$dQ2 000130790 593__ $$aAlgebra and Number Theory$$c2021$$dQ2 000130790 594__ $$a2.4$$b2021 000130790 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000130790 700__ $$0(orcid)0000-0001-9430-343X$$aMiana, PJ$$uUniversidad de Zaragoza 000130790 700__ $$aSanchez-Lajusticia, L 000130790 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000130790 773__ $$g11, 3 (2021), 119 [34 pp]$$pAnal. math. phys.$$tAnalysis and Mathematical Physics$$x1664-2368 000130790 8564_ $$s445754$$uhttps://zaguan.unizar.es/record/130790/files/texto_completo.pdf$$yPostprint 000130790 8564_ $$s1365678$$uhttps://zaguan.unizar.es/record/130790/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000130790 909CO $$ooai:zaguan.unizar.es:130790$$particulos$$pdriver 000130790 951__ $$a2024-01-31-19:21:20 000130790 980__ $$aARTICLE