Geodesic
On one Dubinin problem for the weight capacitance of a Hesse condenser with $A_1$-Mackenhaupt weight
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 138-145

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For the Hesse condenser in $\mathbb{R}^n$, $n\ge2$, the equivalence of its weight capacitance and its weight modulus with $A_1$-Muckenhoupt weight is proved. This gives a solution of the Dubinin problem on estimating the capacitance of a capacitor with the weight mentioned.
Mots-clés : capacitance
Keywords: modulus of a family of curves, Muckenhoupt weight. 
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     author = {V. A. Shlyk},
     title = {On one {Dubinin} problem for the weight capacitance of a {Hesse} condenser with $A_1${-Mackenhaupt} weight},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {138--145},
     publisher = {mathdoc},
     volume = {206},
     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2022_206_a12/}
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V. A. Shlyk. On one Dubinin problem for the weight capacitance of a Hesse condenser with $A_1$-Mackenhaupt weight. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 138-145. http://geodesic.mathdoc.fr/item/INTO_2022_206_a12/