000162378 001__ 162378
000162378 005__ 20251017144654.0
000162378 0247_ $$2doi$$a10.1007/s44146-025-00189-3
000162378 0248_ $$2sideral$$a144637
000162378 037__ $$aART-2025-144637
000162378 041__ $$aeng
000162378 100__ $$0(orcid)0000-0003-2453-7841$$aAbadías Ullod, Luciano$$uUniversidad de Zaragoza
000162378 245__ $$aConvergence rates in mean ergodic theorems for Cesàro bounded operators
000162378 260__ $$c2025
000162378 5060_ $$aAccess copy available to the general public$$fUnrestricted
000162378 5203_ $$aWe establish the (polynomially) logarithmic decay of ergodic means of Cesàro bounded operators of any fractional order, under convergence of the one-sided ergodic Hilbert transform. This extends the theorem of Gomilko, Haase and Tomilov for power bounded operators. We also improve the polynomial decay of means involved in the fractional Poisson equation. The theorems are obtained as an application of a general result, also proved here, about rates of decay of means for Cesàro bounded operators.
000162378 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E48-20R$$9info:eu-repo/grantAgreement/ES/MICIU/PID2022-137294NB-I00
000162378 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es
000162378 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000162378 700__ $$0(orcid)0000-0003-0398-6883$$aGalé, José E.$$uUniversidad de Zaragoza
000162378 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000162378 773__ $$g(2025), [34 pp.]$$pActa sci. math.$$tActa Scientiarum Mathematicarum$$x0001-6969
000162378 8564_ $$s723055$$uhttps://zaguan.unizar.es/record/162378/files/texto_completo.pdf$$yVersión publicada
000162378 8564_ $$s1136781$$uhttps://zaguan.unizar.es/record/162378/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000162378 909CO $$ooai:zaguan.unizar.es:162378$$particulos$$pdriver
000162378 951__ $$a2025-10-17-14:37:35
000162378 980__ $$aARTICLE