Inclusion of ${\Lambda }^{\#}B{V}^{(p)}$ spaces in the classes $BV(q(n)\uparrow \infty )$

Abstract

The multivariable version of Waterman-Shiba classes and $BV(q(n)\uparrow \infty )$ are introduced. Also characterization of the inclusion of multivariable Waterman-Shiba classes into classes of functions multivariable $BV(q(n)\uparrow \infty )$ is given.

arXiv commentThe final version can be found in: arXiv:1311.5324