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math.CV2016
The Bergman analytic content of planar domains
Matthew Fleeman, Erik Lundberg
Given a planar domain , the Bergman analytic content measures the -distance between and the Bergman space . We compute the Bergman analytic content…
math.CV2013
A solution to Sheil-Small's harmonic mapping problem for Jordan polygons
Daoud Bshouty, Erik Lundberg, Allen Weitsman
The problem of mapping the interior of a Jordan polygon univalently by the Poisson integral of a step function was posed by T. Sheil-Small (1989). We describe a simple solution usi…