Geodesic
On the Nikol'skii and Potapov classes of functions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 224-235

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It is proved that the Nikol'skii classes $H_1^r$ and Potapov classes $A_1^r$ contain the class $W_1^r$ for $r>1/2$. 
@article{TM_2016_293_a15,
     author = {V. P. Motornyi},
     title = {On the {Nikol'skii} and {Potapov} classes of functions},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {224--235},
     publisher = {mathdoc},
     volume = {293},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_293_a15/}
}
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V. P. Motornyi. On the Nikol'skii and Potapov classes of functions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 224-235. http://geodesic.mathdoc.fr/item/TM_2016_293_a15/