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Embeddings of the classesH ω |
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| Authors: | M V Medvedeva |
| Institution: | (1) M. V. Lomonosov Moscow State University, USSR |
| Abstract: | In this paper we study functions belonging to the classesV ε and ΛBV, which are encountered in the theory of Fourier trigonometric series. Necessary and sufficient conditions for the embedding of the classesH ω in the classesV ϕ and ABV are obtained. Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 713–719, November, 1998. This research was supported by the program “Leading Scientific Schools” under grant No. 96/97-15-96073. |
| Keywords: | Fourier series H ω -class V ϕ --class Λ BV-class embedding of the classesH ω modulus of continuity function of Λ -bounded variation |
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