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Approximation by harmonic functions in the \(C^m\)-norm and harmonic \(C^m\)-capacity of compact sets in \(\mathbb{R}^n\)

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Publication:1277533
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DOI10.1007/BF02360872zbMath0921.41010MaRDI QIDQ1277533

Yu. A. Gorokhov

Publication date: 30 September 1999

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

harmonic functionharmonic capacities


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Approximation in the complex plane (30E10) Approximation by other special function classes (41A30)


Related Items

The isoperimetric inequality via approximation theory and free boundary problems ⋮ Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions



Cites Work

  • On uniform approximation by harmonic functions
  • $ C^m$-APPROXIMATIONS BY HARMONIC POLYNOMIALS ON COMPACT SETS IN $ \mathbb{R}^n$
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