U. Goginava

On the Embedding Waterman, Chanturia and Generalized Wiener Classes in the Classes $H_{1}^{\omega}$

Chanturia, Wang and Akhobadze proved sufficient conditions for the inclusion of Chanturia, Waterman and Generalized Wiener classes, respectively, in the classes $H_{1}^{\omega }$. In this paper we prove that these conditions are necessary for this inclusion to hold.