Geodesic
On metric properties of $C$-capacities associated with solutions of second-order strongly elliptic equations in $\pmb{\mathbb R}^2$
Sbornik. Mathematics, Tome 213 (2022) no. 6, pp. 831-843

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For certain capacities that were used previously to formulate criteria for the uniform approximability of functions by solutions of strongly elliptic equations of the second order on compact subsets of $\mathbb R^2$, a number of metric properties are established. New, more natural criteria for individual approximability are obtained as consequences. Unsolved problems of interest are stated. Bibliography: 13 titles.
Keywords: strongly elliptic equations of the second order in $\mathbb R^2$, $C$-capacity, Vitushkin-type localization operator, subadditivity problem for capacity.
Mots-clés : Hausdorff content 
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     author = {P. V. Paramonov},
     title = {On metric properties of $C$-capacities associated with solutions of second-order strongly elliptic equations in $\pmb{\mathbb R}^2$},
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P. V. Paramonov. On metric properties of $C$-capacities associated with solutions of second-order strongly elliptic equations in $\pmb{\mathbb R}^2$. Sbornik. Mathematics, Tome 213 (2022) no. 6, pp. 831-843. http://geodesic.mathdoc.fr/item/SM_2022_213_6_a4/