Seminars: Sh. O. Ibragimov, Hölder continuity of Green’s function for superattracting Fatou components of polynomial mappings

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) February 6, 2020 12:00, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Hölder continuity of Green’s function for superattracting Fatou components of polynomial mappings Sh. O. Ibragimov National University of Uzbekistan named after M. Ulugbek, Tashkent
Abstract: It is known that every point of superattracting Fatou component converges to a fixed point under superpositions of the given map. In this talk, using this property we establish the Hölder continuity of Green’s function for such components of polynomial mappings in the complex plane.