Geodesic
Growth of a~mixed derivative of a~function of $C^{(l_1,l_2)}$
Matematičeskie zametki, Tome 15 (1974) no. 3, pp. 355-362.

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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. 
@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},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_3_a0/}
}
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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/