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math.CV2022★ 4 cited
Lower estimates of the Kobayashi distance and limits of complex geodesics
Łukasz Kosiński, Nikolai Nikolov
It is proved for a strongly pseudoconvex domain in with -smooth boundary that any complex geodesic through every two close points of sufficient…
math.CV2022
Composition operators on the polydisc
Lukasz Kosinski
We study the boundedness of composition operators on the weighted Bergman spaces and the Hardy space over the polydisc. For arbitrary polydisc we prove the rank sufficiency theorem…
math.CV2022
Complete Norm Preserving Extensions of Holomorphic Functions
Jim Agler, Lukasz Kosinski, John E. McCarthy
We show that for every connected analytic subvariety there is a pseudoconvex set such that every bounded matrix-valued holomorphic function on extends isometrically to…