Geodesic
Inequalities for the norms of derivatives in the spaces $L_{p,\varphi}$
Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 463-473 
V. A. Kostin. Inequalities for the norms of derivatives in the spaces $L_{p,\varphi}$. Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 463-473. http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a11/
@article{MZM_1969_6_4_a11,
     author = {V. A. Kostin},
     title = {Inequalities for the norms of derivatives in the spaces $L_{p,\varphi}$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {463--473},
     year = {1969},
     volume = {6},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a11/}
}
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We introduce and study spaces of functions on $[0,\infty)$ which generalize the spaces of Stepanov. We derive multiplicative inequalities for the norms of derivatives of functions in these spaces.