On a problem of Hardy-Littlewood

È. A. Storozhenko

Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 557-577

Résumé

This work gives an estimate for the quasinorm of the $k$th derivative of a function in the Hardy space $H^p$, $0<p\leqslant\infty$, 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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