Abstract
We consider the notion ofp, 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 byn, λ-absolutely continuous functions in the sense of Maly and hencl. We introduce the class δ-BV pλ,loc and we give a characterization of the functions belonging to this class.
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Di Bari, C., Vetro, C. Absolute continuity for Banach space valued mappings. Rend. Circ. Mat. Palermo 56, 116–124 (2007). https://doi.org/10.1007/BF03031433
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DOI: https://doi.org/10.1007/BF03031433