On the Christoffel Function for the Generalized Jacobi Measures on a Quasidisk

We establish the exact (up to the constants) double inequality for the Christoffel function for a measure supported on a Jordan domain bounded by a quasiconformal curve. We show that this quasiconformality of the boundary cannot be omitted.

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Veröffentlicht in:Constructive approximation 2018-06, Vol.47 (3), p.437-452
1. Verfasser: Andrievskii, Vladimir V.
Format: Artikel
Sprache:eng
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Zusammenfassung:We establish the exact (up to the constants) double inequality for the Christoffel function for a measure supported on a Jordan domain bounded by a quasiconformal curve. We show that this quasiconformality of the boundary cannot be omitted.
ISSN:0176-4276
1432-0940
DOI:10.1007/s00365-017-9404-4