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000075664 0247_ $$2doi$$a10.1016/j.jfa.2017.10.010
000075664 0248_ $$2sideral$$a104964
000075664 037__ $$aART-2018-104964
000075664 041__ $$aeng
000075664 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, L.$$uUniversidad de Zaragoza
000075664 245__ $$aGeneralized Cesaro operators, fractional finite differences and Gamma functions
000075664 260__ $$c2018
000075664 5060_ $$aAccess copy available to the general public$$fUnrestricted
000075664 5203_ $$aIn this paper, we present a complete spectral research of generalized Cesaro operators on Sobolev-Lebesgue sequence spaces. The main idea is to subordinate such operators to suitable Co-semigroups on these sequence spaces. We introduce that family of sequence spaces using the fractional finite differences and we prove some structural properties similar to classical Lebesgue sequence spaces. In order to show the main results about fractional finite differences, we state equalities involving sums of quotients of Euler's Gamma functions. Finally, we display some graphical representations of the spectra of generalized Cesaro operators.
000075664 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E64$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P
000075664 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000075664 590__ $$a1.637$$b2018
000075664 591__ $$aMATHEMATICS$$b28 / 313 = 0.089$$c2018$$dQ1$$eT1
000075664 592__ $$a2.47$$b2018
000075664 593__ $$aAnalysis$$c2018$$dQ1
000075664 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000075664 700__ $$0(orcid)0000-0001-9430-343X$$aMiana, P.J.$$uUniversidad de Zaragoza
000075664 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000075664 773__ $$g274, 5 (2018), 1424-1465$$pJ. funct. anal.$$tJOURNAL OF FUNCTIONAL ANALYSIS$$x0022-1236
000075664 8564_ $$s568871$$uhttps://zaguan.unizar.es/record/75664/files/texto_completo.pdf$$yPostprint
000075664 8564_ $$s82283$$uhttps://zaguan.unizar.es/record/75664/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
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000075664 951__ $$a2020-01-08-09:29:23
000075664 980__ $$aARTICLE