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

preprint2015arXivOpen access

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.

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

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Inclusion of Λ#BV(p)Λ^{\#} BV^{(p)}Λ#BV(p) spaces in the classes BV(q(n)↑∞)BV(q(n)\uparrow \infty)BV(q(n)↑∞)

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