Geodesic
Inequalities for the norms of derivatives in the spaces $L_{p,\varphi}$
Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 463-473

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@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},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a11/}
}
TY  - JOUR
AU  - V. A. Kostin
TI  - Inequalities for the norms of derivatives in the spaces  $L_{p,\varphi}$
JO  - Matematičeskie zametki
PY  - 1969
SP  - 463
EP  - 473
VL  - 6
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a11/
LA  - ru
ID  - MZM_1969_6_4_a11
ER  - 
%0 Journal Article
%A V. A. Kostin
%T Inequalities for the norms of derivatives in the spaces  $L_{p,\varphi}$
%J Matematičeskie zametki
%D 1969
%P 463-473
%V 6
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a11/
%G ru
%F MZM_1969_6_4_a11
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/