An Embedding Theorem given by the Modulus of Variation
In  and  we extended an interesting theorem of Medvedeva  pertaining to the embedding relation $H^\omega\subset \Lambda BV$, where $\Lambda BV$
denotes the set of functions of $\Lambda$-bounded variation. Our theorem proved in  unifies the notion of $\varphi$-variation due to Young  and that of the generalized Wiener class $BV(p(n)\uparrow)$ due to Kita
and Yoneda . In this note we generalize the theorem proved in  such that it will use the concept of the modulus of variation due to Chanturia . For further references pertaining to the new notion mentioned above we refer to an interesting paper by Goginava and Tskhadaia . We also show that our new theorem includes our previous result as a special case.
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