Capacity of a condenser and modulus of a family of separating surfaces. (English. Russian original) Zbl 0783.31006
J. Sov. Math. 59, No. 6, 1240-1248 (1992); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 185, 168-182 (1990).
See the review in Zbl 0734.31008.
MSC:
| 31C15 | Potentials and capacities on other spaces |
| 28A15 | Abstract differentiation theory, differentiation of set functions |
Citations:
Zbl 0734.31008References:
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| [2] | L. J. Hedberg, ?Removable singularities and condenser capacities,? Arkiv. Math.,12, No. 1, 181?201 (1974). · Zbl 0297.30017 · doi:10.1007/BF02384755 |
| [3] | H. Federer, Geometric Measure Theory, Springer, New York (1969). · Zbl 0176.00801 |
| [4] | V. M. Gol’dshtein and Yu. G. Reshetnyak, Introduction to the Theory of Functions with Generalized Derivatives and Quasiconformal Mappings [in Russian], Moscow (1983). · Zbl 0591.46021 |
| [5] | H. Gajewski, K. Gröger, K. Zacharias, Nonlinear Operator Equations and Differential Operator Equations [Russian translation], Moscow (1976). |
| [6] | V. S. Vladimirov, Generalized Functions in Mathematical Physics [in Russian], Moscow (1976). |
| [7] | H. Yamamoto, ?On a p-capacity of a condenser and KDP-null-sets,? Hiroshima Math. J.,8, No. 1, 123?150 (1978). |
| [8] | K. Kuratowski, Topology, Vol. 2 [Russian translation], Moscow (1969). |
| [9] | B. Fuglede, ?Extremal length and functional completion,? Acta Math.,98, Nos. 3?4, 171?219 (1957). · Zbl 0079.27703 · doi:10.1007/BF02404474 |
| [10] | V. A. Shlyk, ?K-capacity and the Rado problem for mappings with limited distortion,? Sib. Mat. Zh.,31, No. 1, 179?186 (1990). · Zbl 0715.30016 · doi:10.1007/BF00971161 |
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