Christoffel function on planar domains with piecewise smooth boundary

Abstract

We compute up to a constant factor the Christoffel function on planar domains with boundary consisting of finitely many $C^2$ curves such that each corner point of the boundary has interior angle strictly between $0$ and $\pi$. The resulting formula uses the distances from the point of interest to the curves or certain parts of the curves defining the boundary of the domain.

References in corpus (2)

• On Nikol'skii inequalities for domains in $R^d$
• Upper estimates of Christoffel function on convex domains