Kolmogorov's inequality for functions analytic in a~half-plane
Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 3-9

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

The exact Kolmogorov inequality $$ \|f^{(k)}\|_p\le\|f\|_p^{1-k/n},\quad1\le k,\quad1\le p\le\infty, $$ is obtained in the Hardy space $H_p$ of functions analytic in a half-plane.
@article{TIMM_2005_11_2_a0,
     author = {R. R. Akopian},
     title = {Kolmogorov's inequality for functions analytic in a~half-plane},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {3--9},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a0/}
}
TY  - JOUR
AU  - R. R. Akopian
TI  - Kolmogorov's inequality for functions analytic in a~half-plane
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2005
SP  - 3
EP  - 9
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a0/
LA  - ru
ID  - TIMM_2005_11_2_a0
ER  - 
%0 Journal Article
%A R. R. Akopian
%T Kolmogorov's inequality for functions analytic in a~half-plane
%J Trudy Instituta matematiki i mehaniki
%D 2005
%P 3-9
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a0/
%G ru
%F TIMM_2005_11_2_a0
R. R. Akopian. Kolmogorov's inequality for functions analytic in a~half-plane. Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 3-9. http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a0/