Abstract
In this article we present a generalization of the concept of function of bounded variation, in the sense of Riesz, for functions defined on a rectangle in $\mathbb{R}^{2}$, which take values in a Banach space. As applications, we obtain generalizations of some results due to Chistyakov and a counterpart of the classical Riesz's Lemma.
Citation
Mireya Bracamonte. José Giménez. Nelson Merente. "Vector valued functions of bounded bidimensional $\Phi$-variation." Ann. Funct. Anal. 4 (1) 89 - 108, 2013. https://doi.org/10.15352/afa/1399899839
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