Approximation of harmonic functions on compact sets in \(\mathbb{C}\)

DOI10.1007/BF01060855zbMath0852.31001MaRDI QIDQ1921736

Vladimir V. Andrievskii

Publication date: 13 October 1996

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

zbMATH Keywords

compact setJohn domainqualitative theory uniform approximation by harmonic polynomials

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Approximation by other special function classes (41A30) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (5)

Uniformly perfect subsets of the real line and John domains ⋮ Polynomial approximation of polyharmonic functions on a complement of a John domain ⋮ ``Near-best polynomial approximation of harmonic functions on compact sets in \(\mathbb{C}\) ⋮ The maximal range problem for a bounded domain ⋮ On the approximation of a continuum by lemniscates

Cites Work

• On the boundary continuity of conformal maps
• Approximation of functions by partial sums of series of Faber polynomials on continua with nonzero local geometric characteristic
• Uniform Harmonic Approximation on Compact Sets in $\mathbb{R}^k $, $k \geqq 3$
• CONFORMAL MAPPINGS AND THE APPROXIMATION OF ANALYTIC FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY
• Injectivity theorems in plane and space
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