Inclusions of Waterman-Shiba spaces into generalized Wiener classes

preprint2014arXivOpen access

Abstract

The characterization of the inclusion of Waterman-Shiba spaces ΛBV(p)ΛBV^{(p)} into generalized Wiener classes of functions BV(q; δ)BV(q;\,δ) is given. It uses a new and shorter proof and extends an earlier result of U. Goginava.

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