000130807 001__ 130807
000130807 005__ 20240731103309.0
000130807 0247_ $$2doi$$a10.1007/s11856-022-2353-z
000130807 0248_ $$2sideral$$a129846
000130807 037__ $$aART-2023-129846
000130807 041__ $$aeng
000130807 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, L.$$uUniversidad de Zaragoza
000130807 245__ $$aPoisson equation and discrete one-sided Hilbert transform for (c,a)-bounded operators
000130807 260__ $$c2023
000130807 5203_ $$aWe 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.
000130807 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E26-17R$$9info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00$$9info:eu-repo/grantAgreement/ES/UZ/JIUZ-2019-CIE-01
000130807 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000130807 590__ $$a0.8$$b2023
000130807 592__ $$a0.943$$b2023
000130807 591__ $$aMATHEMATICS$$b178 / 489 = 0.364$$c2023$$dQ2$$eT2
000130807 593__ $$aMathematics (miscellaneous)$$c2023$$dQ1
000130807 594__ $$a1.7$$b2023
000130807 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000130807 700__ $$0(orcid)0000-0003-0398-6883$$aGalé, J. E.$$uUniversidad de Zaragoza
000130807 700__ $$aLizama, C.
000130807 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000130807 773__ $$g253 (2023), 917–987$$pIsr. J. Math.$$tIsrael Journal of Mathematics$$x0021-2172
000130807 8564_ $$s668611$$uhttps://zaguan.unizar.es/record/130807/files/texto_completo.pdf$$yVersión publicada
000130807 8564_ $$s946028$$uhttps://zaguan.unizar.es/record/130807/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000130807 909CO $$ooai:zaguan.unizar.es:130807$$particulos$$pdriver
000130807 951__ $$a2024-07-31-09:38:55
000130807 980__ $$aARTICLE