Matematičeskie zametki, Tome 15 (1974) no. 3, pp. 355-362
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O. V. Besov. Growth of a mixed derivative of a function of $C^{(l_1,l_2)}$. Matematičeskie zametki, Tome 15 (1974) no. 3, pp. 355-362. http://geodesic.mathdoc.fr/item/MZM_1974_15_3_a0/
@article{MZM_1974_15_3_a0,
author = {O. V. Besov},
title = {Growth of a~mixed derivative of a~function of $C^{(l_1,l_2)}$},
journal = {Matemati\v{c}eskie zametki},
pages = {355--362},
year = {1974},
volume = {15},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_3_a0/}
}
TY - JOUR
AU - O. V. Besov
TI - Growth of a mixed derivative of a function of $C^{(l_1,l_2)}$
JO - Matematičeskie zametki
PY - 1974
SP - 355
EP - 362
VL - 15
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_3_a0/
LA - ru
ID - MZM_1974_15_3_a0
ER -
%0 Journal Article
%A O. V. Besov
%T Growth of a mixed derivative of a function of $C^{(l_1,l_2)}$
%J Matematičeskie zametki
%D 1974
%P 355-362
%V 15
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_3_a0/
%G ru
%F MZM_1974_15_3_a0
For a function $f(x,y)$ with the continuous derivatives $D_1^{l_1}f$, $D_2^{l_2}f$ we estimate the growth of the mixed derivative $D^\alpha f$$\bigl(\frac{\alpha_1}{l_1}+\frac{\alpha_2}{l_2}=1\bigr)$. We consider generalizations and related problems.
