Geodesic
On~a problem of Hardy-Littlewood
Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 557-577

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This work gives an estimate for the quasinorm of the $k$th derivative of a function in the Hardy space $H^p$, $0$, using a modulus of continuity of order $k$, specially introduced for $H^p$. Also considered are applications of the results to the problem of imbedding of Hardy classes and the theory of approximation. Bibliography: 26 titles. 
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     author = {\`E. A. Storozhenko},
     title = {On~a problem of {Hardy-Littlewood}},
     journal = {Sbornik. Mathematics},
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     volume = {47},
     number = {2},
     year = {1984},
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     url = {http://geodesic.mathdoc.fr/item/SM_1984_47_2_a16/}
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È. A. Storozhenko. On~a problem of Hardy-Littlewood. Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 557-577. http://geodesic.mathdoc.fr/item/SM_1984_47_2_a16/