57 citations · 233 across the 42 of their papers we have counts for
Showing 2017 · math.CVShow all
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math.CV2017★ 5 cited
Removable sets for intrinsic metric and for holomorphic functions
Sergei Kalmykov, Leonid V. Kovalev, Tapio Rajala
We study the subsets of metric spaces that are negligible for the infimal length of connecting curves; such sets are called metrically removable. In particular, we show that every…
math.CV2017★ 3 cited
Symmetrization and extension of planar bi-Lipschitz maps
Leonid V. Kovalev
We show that every centrally symmetric bi-Lipschitz embedding of the circle into the plane can be extended to a global bi-Lipschitz map of the plane with linear bounds on the disto…
math.CV2017★ 1 cited
Uniform convergence of Green's functions
Sergei Kalmykov, Leonid V. Kovalev
Given a sequence of regular planar domains converging in the sense of kernel, we prove that the corresponding Green's functions converge uniformly on the complex sphere, provided t…