Inclusions of Waterman-Shiba spaces into generalized Wiener classes

Abstract

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

arXiv comment5 pages