Geodesic
The imbedding of certain function classes $H_p^\omega$
Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 601-637

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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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     author = {P. L. Ul'yanov},
     title = {The imbedding of certain function classes $H_p^\omega$},
     journal = {Izvestiya. Mathematics },
     pages = {601--637},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {1968},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_3_a6/}
}
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P. L. Ul'yanov. The imbedding of certain function classes $H_p^\omega$. Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 601-637. http://geodesic.mathdoc.fr/item/IM2_1968_2_3_a6/