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RESEARCH PRODUCT

Absolute continuity for Banach space valued mappings

Cristina Di BariCalogero Vetro

subject

Discrete mathematicsClass (set theory)General MathematicsBanach spaceCharacterization (mathematics)Algebra over a fieldAbsolute continuityMathematics

description

We consider the notion of p,λ,δ-absolute continuity for Banach space valued mappings introduced in [2] for real valued functions and for λ = 1. We investigate the validity of some basic properties that are shared by n, λ-absolutely continuous functions in the sense of Maly and Hencl. We introduce the class $δ-BV^p_{λ,loc}$ and we give a characterization of the functions belonging to this class.

yearjournalcountryeditionlanguage
2007-02-01
http://hdl.handle.net/10447/10849