$ C^1$-approximation and extension of subharmonic functions

DOI10.1070/sm2001v192n04ABEH000556zbMath1009.41016MaRDI QIDQ2759307

Joan Verdera, Peter V. Paramonov, Mark S. Melnikov

Publication date: 3 January 2002

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

distributionHausdorff measureRadon measuresRiesz measure\(T(1)\)-theoremcapacity of a set\(C^1\)-extension of subharmonic functionsflux estimatefundamental solution for Laplace operatorsemiadditivity of capacityuniform approximability of the gradients of \(C^1\)-subharmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Approximation by other special function classes (41A30)

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