We are concerned with the notions of absolute continuity in terms of $0$-continuity, and of $(\epsilon, \delta)$-continuity, with respect to a finitely additive function taking values into a topological commutative group. A sufficient condition for their equivalence is established. The non-additive case of functions with values into Hausdorff topological spaces is also investigated.
Titolo: | On the absolute continuity of additive and non-additive functions |
Autori: | |
Data di pubblicazione: | 2014 |
Rivista: | |
Abstract: | We are concerned with the notions of absolute continuity in terms of $0$-continuity, and of $(\epsilon, \delta)$-continuity, with respect to a finitely additive function taking values into a topological commutative group. A sufficient condition for their equivalence is established. The non-additive case of functions with values into Hausdorff topological spaces is also investigated. |
Handle: | http://hdl.handle.net/11386/3992655 |
Appare nelle tipologie: | 1.1 Articoli su Rivista |
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