6533b86dfe1ef96bd12ca92a
RESEARCH PRODUCT
A local notion of absolute continuity in IR^n
Cristina Di BariCalogero Vetrosubject
Class (set theory)Pure mathematicsPolish groupHaar nullGeneral MathematicsMathematical analysisNull set or empty setAlgebra over a fieldAbsolute continuityCharacterization (mathematics)Modulus of continuityMathematicsdescription
We consider the notion of p, δ-absolute continuity for functions of several variables introduced in [2] and we investigate the validity of some basic properties that are shared by absolutely continuous functions in the sense of Maly. We introduce the class $δ−BV^p_loc(\Omega,IR^m)$ and we give a characterization of the functions belonging to this class.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-02-01 |