We study the notion of φ−absolute continuity, providing several equivalent definitions, and we prove a characterization of the space of φ−absolutely continuous functions in terms of convergence in variation for a family of Mellin integral operators in the multidimensional setting.

A concept of absolute continuity and its characterization in terms of convergence in variation

ANGELONI, Laura
;
VINTI, Gianluca
2016

Abstract

We study the notion of φ−absolute continuity, providing several equivalent definitions, and we prove a characterization of the space of φ−absolutely continuous functions in terms of convergence in variation for a family of Mellin integral operators in the multidimensional setting.
2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1361021
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