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Inclusions of Waterman-Shiba spaces into generalized Wiener classes

Functional Analysis 2014-06-16 v2

Abstract

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

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Cite

@article{arxiv.1311.5324,
  title  = {Inclusions of Waterman-Shiba spaces into generalized Wiener classes},
  author = {Mahdi Hormozi and Franciszek Prus-Wisniowski and Hjalmar Rosengren},
  journal= {arXiv preprint arXiv:1311.5324},
  year   = {2014}
}

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5 pages