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.File in questo prodotto:
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