The imbedding of certain function classes $H_p^\omega$

P. L. Ul'yanov

Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 601-637.

Résumé

Sufficient conditions on the modulus of continuity $\omega(\delta)$ are found for an imbedding of function classes $H_p^{\omega(\delta)}\subset\varphi(L)$. It is shown that in a number of cases these conditions are also necessary.

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