Balayage ping-pong: a convexity of equilibrium measures

DOI10.1007/s00365-011-9143-xzbMath1250.31003OpenAlexW2032143640MaRDI QIDQ714940

David Benko, Peter D. Dragnev

Publication date: 12 October 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-011-9143-x

zbMATH Keywords

logarithmic potentialRiesz potentialequilibrium measuresbalayage ping-pong technique

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (3)

On point-mass Riesz external fields on the real axis ⋮ Convexity of harmonic densities ⋮ A subharmonicity property of harmonic measures

Cites Work

• Interior capacities of condensers with countably many plates in locally compact spaces
• Riesz spherical potentials with external fields and minimal energy points separation
• On the support of the equilibrium measure for arcs of the unit circle and for real intervals
• Riesz extremal measures on the sphere for axis-supported external fields
• Constrained energy problems with applications to orthogonal polynomials of a discrete variable
• Convexity of harmonic densities
• The support of the equilibrium measure for a class of external fields on a finite interval.
• Equilibrium problems associated with fast decreasing polynomials
• The support of the equilibrium measure in the presence of a monomial external field on $[-1,1$]
• Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable
• Asymptotics for Minimal Discrete Riesz Energy on Curves in ℝ^d
• Equilibrium Potentials with External Fields
• Orthogonal polynomials for exponential weights
• Polynomial inverse images and polynomial inequalities
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