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

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