162378 20251017144654.0 doi 10.1007/s44146-025-00189-3 sideral 144637 ART-2025-144637 eng Abadías Ullod, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 Convergence rates in mean ergodic theorems for Cesàro bounded operators 2025 Access copy available to the general public Unrestricted We 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. info:eu-repo/grantAgreement/ES/DGA/E48-20R info:eu-repo/grantAgreement/ES/MICIU/PID2022-137294NB-I00 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Galé, José E. Universidad de Zaragoza (orcid)0000-0003-0398-6883 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático (2025), [34 pp.] Acta sci. math. Acta Scientiarum Mathematicarum 0001-6969 723055 http://zaguan.unizar.es/record/162378/files/texto_completo.pdf Versión publicada 1136781 http://zaguan.unizar.es/record/162378/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:162378 articulos driver 2025-10-17-14:37:35 ARTICLE