Abstract
We obtain the necessary conditions for the embedding H p ω ⊂ e L (1≤p∞) with convex modulus of continuity ω in terms of this modulus. In the case p=1 these conditions are also sufficient.
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Original Russian Text © V.A. Andrienko, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 3, pp. 3–8.
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Andrienko, V.A. Embedding of H p ω in the class e L . Russ Math. 54, 1–6 (2010). https://doi.org/10.3103/S1066369X10030011
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DOI: https://doi.org/10.3103/S1066369X10030011