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math.CV2023
Exhaustions of circle domains
Dimitrios Ntalampekos, Kai Rajala
Koebe's conjecture asserts that every domain in the Riemann sphere is conformally equivalent to a circle domain. We prove that every domain satisfying Koebe's conjecture admits…
math.MG2023
Mappings of finite distortion on metric surfaces
Damaris Meier, Kai Rajala
We investigate basic properties of mappings of finite distortion , where is any metric surface, i.e., metric space homeomorphic to a planar domain with lo…