Embeddings of the classesHω
In this paper we study functions belonging to the classesVε and ΛBV, which are encountered in the theory of Fourier trigonometric series. Necessary and sufficient conditions for the embedding of the classesHω in the classesVϕ and ABV are obtained.
Key wordsFourier series Hω-class Vϕ--class ΛBV-class embedding of the classesHω modulus of continuity function of Λ-bounded variation
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