Inclusion of $ΛBV^{(p)}$ spaces in the classes $H_ω^{q}$

preprint2012arXivOpen access

A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. This corrects and extends an earlier result of a paper from 2005.

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Inclusion of $ΛBV^{(p)}$ spaces in the classes $H_ω^{q}$

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Inclusion of ΛBV(p)ΛBV^{(p)}ΛBV(p) spaces in the classes HωqH_ω^{q}Hωq​

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Inclusion of $ΛBV^{(p)}$ spaces in the classes $H_ω^{q}$