Abstract
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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Acknowledgements
Part of this work was done during the fall of 2016 semester, while the author visited the Katholische Universität Eichstätt-Ingolstadt and the Julius Maximilian University of Würzburg. The author is also grateful to M. Nesterenko for his helpful comments.
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Communicated by Edward B. Saff.
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Andrievskii, V.V. On the Christoffel Function for the Generalized Jacobi Measures on a Quasidisk. Constr Approx 47, 437–452 (2018). https://doi.org/10.1007/s00365-017-9404-4
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DOI: https://doi.org/10.1007/s00365-017-9404-4