Amo, Enrique deCampo Acosta, Ricardo delDíaz Carrillo, M.2022-07-262022-07-262006Amo, E.d., Campo Acosta, R.d. y Díaz Carrillo, M. (2006). Finitely additive integration and local integration with respect to upper integrals. Acta Mathematica Hungarica, 112 (4), 315-333.0236-5294https://hdl.handle.net/11441/135765We study the integration theory for general integral metrics when restricted to upper integrals q, finding improvements in the relation between the classes of the q-integrable and the ql-integrable functions. We give new results and notions which lead to the desirable characterizations of q-integrable functions as ql-integrable f with q(|f|) < ∞, and of ql-integrable functions via the integrability of their upper truncations, under natural conditions which are fulfilled in most finitely additive integration theories.application/pdf19engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Finitely additive integrationIntegral metricUpper integralStrong measurabilityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s10474-006-0083-z