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math.CV2017
Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains
Arkadiusz Lewandowski
We give the parameter version of localization theorem for Bergman metric near the boundary points of strictly pseudoconvex domains. The approximation theorem for square integrable…
math.CV2017★ 1 cited
Peak functions and boundary behaviour of holomorphically invariant distances on strictly pseudoconvex domains
Arkadiusz Lewandowski
We give a parameter version of Graham-Kerzman approximation theorem for bounded holomorphic functions on strictly pseudoconvex domains. As an application, we present some uniform e…
math.CV2017★ 2 cited
Families of strictly pseudoconvex domains and peak functions
Arkadiusz Lewandowski
We prove that given a family of strictly pseudoconvex domains varying in topology on domains, there exists a continuously varying family of peak functions $…