130807 20241125101124.0 doi 10.1007/s11856-022-2353-z sideral 129846 ART-2023-129846 eng Abadias, L. Universidad de Zaragoza (orcid)0000-0003-2453-7841 Poisson equation and discrete one-sided Hilbert transform for (c,a)-bounded operators 2023 We characterize the solutions of the Poisson equation and the domain of its associated one-sided Hilbert transform for (C, α)-bounded operators, α > 0. This extends known results for power bounded operators to the setting of Cesàro bounded operators of fractional order, thus generalizing the results substantially. In passing, we obtain a generalization of the mean ergodic theorem in our framework. Examples are given to illustrate the theory. info:eu-repo/grantAgreement/ES/DGA/E26-17R info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00 info:eu-repo/grantAgreement/ES/UZ/JIUZ-2019-CIE-01 info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.8 2023 MATHEMATICS 179 / 490 = 0.365 2023 Q2 T2 0.943 2023 Mathematics (miscellaneous) 2023 Q1 1.7 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Galé, J. E. Universidad de Zaragoza (orcid)0000-0003-0398-6883 Lizama, C. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 253 (2023), 917–987 Isr. J. Math. Israel Journal of Mathematics 0021-2172 668611 http://zaguan.unizar.es/record/130807/files/texto_completo.pdf Versión publicada 946028 http://zaguan.unizar.es/record/130807/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:130807 articulos driver 2024-11-22-11:57:15 ARTICLE