On the Christoffel function for the generalized Jacobi measures on a quasidisk

2016/12/01 by Vladimir Andrievskii, Andrievskii, Vladimir
Mathematics · #30C10 #30C62 #30E10 #30E20 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C10 #msc:30C62 #msc:30E10 #msc:30E20

paper · pdf · doi:10.48550/arxiv.1612.00517

arxiv created 2016/12/01 · arxiv updated 2016/12/05

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.

Related

• Christoffel functions on Jordan curves with respect to measures with jump singularity
• Universality limits for generalized Jacobi measures
• A modified Christoffel function and its asymptotic properties
• Christoffel functions with power type weights
• Strong asymptotics for Christoffel functions of planar measures