Some applications of the Robin function to multivariable approximation theory
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Publication:1379561
DOI10.1006/jath.1997.3115zbMath0896.31003OpenAlexW2038986905MaRDI QIDQ1379561
Publication date: 1 October 1998
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1997.3115
Multidimensional problems (41A63) Pluriharmonic and plurisubharmonic functions (31C10) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Approximation by polynomials (41A10)
Related Items (10)
Capacity convergence results and applications to a Berstein-Markov inequality ⋮ Transfinite diameter notions in \(\mathbb C^N\) and integrals of Vandermonde determinants ⋮ \(C\)-Robin functions and applications ⋮ Point-value WENO multiresolution applications to stable image compression ⋮ On the Sičiak extremal function for real compact convex sets ⋮ On the zeros of polynomials of best approximation ⋮ A Hilbert lemniscate theorem in \(\mathbb C^{ 2 }\) ⋮ Approximation of holomorphic functions on compact subsets of \(\mathbb R^N\) ⋮ A theorem on the approximation of plurisubharmonic functions in Lelong classes ⋮ Plurisubharmonic functions characterized by one-variable extremal functions
Cites Work
- Plurisubharmonic functions with logarithmic singularities
- Behavior of zeros of polynomials of near best approximation
- On zeros of polynomials of best approximation to holomorphic and \(C^{\infty}\) functions
- Indicators of growth of polynomials of best uniform approximation to holomorphic functions on compacta in \(C^ N\)
- Extremal plurisubharmonic functions in $C^N$
- Plurisubharmonic measures and capacities on complex manifolds
- Pluricomplex Green function, capacitative notions, and approximation problems in C^n
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