New criteria for uniform approximability by harmonic functions on compact sets in \(\mathbb{R}^2\)
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Publication:1701891
DOI10.1134/S0081543817060141zbMath1387.30053MaRDI QIDQ1701891
Publication date: 27 February 2018
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Approximation in the complex plane (30E10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
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Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of ⋮ Uniform approximation of functions by solutions of second order homogeneous strongly elliptic equations on compact sets in
Cites Work
- Unnamed Item
- Criterion of uniform approximability by harmonic functions on compact sets in \(\mathbb R^{3}\)
- \(C^ m\) approximation by solutions of elliptic equations, and Calderón-Zygmund operators
- Potentiel fin et algèbres de fonctions analytiques. I
- On geometric properties of harmonic \(\text{Lip}_ 1\)-capacity
- $ C^1$-approximation and extension of subharmonic functions
- Some new criteria for uniform approximability of functions by rational fractions
- Approximation by Solutions of Elliptic Equations on Closed Subsets of Euclidean Space.
- Conditions for $ C^m$-approximability of functions by solutions of elliptic equations
- The analytic capacity of sets in problems of approximation theory
- On the solvability and stability of the Dirichlet problem
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