Geodesic
The conditions for the imbedding of the classes $H^\omega_{k,\,R}$ и $\widetilde H^\omega_{k,\,R}$
Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 169-178

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We find the necessary and sufficient conditions for the imbeddings $H^\omega_{l,R}\subset H^\varphi_{k,R}, H^\omega_{l,R}\subset\widetilde H^\varphi_{k,R}$ in terms of the majorants $\omega$ and $\varphi(R=L_{2\pi},C_{2\pi};l>k)$. 
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     author = {V. \`E. Gheit},
     title = {The conditions for the imbedding of the classes $H^\omega_{k,\,R}$ {\cyri} $\widetilde H^\omega_{k,\,R}$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {169--178},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a0/}
}
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V. È. Gheit. The conditions for the imbedding of the classes $H^\omega_{k,\,R}$ и $\widetilde H^\omega_{k,\,R}$. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 169-178. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a0/