Inclusion of $\Lambda^{\#} BV^{(p)}$ spaces in the classes   $BV(q(n)\uparrow \infty)$
  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. 
Mahdi Hormozi
math.FA