Geodesic
Imbedding in the class $e^L$
Matematičeskie zametki, Tome 10 (1971) no. 1, pp. 17-24

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Conditions which must be satisfied by the modulus of continuity and smoothness of a function $f(x)\in L_p(0,2\pi)$ in order that $f(x)$ or $\widetilde f(x)$ belong to the class $e^L$ are obtained. 
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     author = {\`E. A. Storozhenko},
     title = {Imbedding in the class $e^L$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {17--24},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a2/}
}
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È. A. Storozhenko. Imbedding in the class $e^L$. Matematičeskie zametki, Tome 10 (1971) no. 1, pp. 17-24. http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a2/