| RUS ENG |
| Full version |
|
|
|
| SEMINARS |
|
Seminar of Laboratory of Theory of Functions "Modern Problems of Complex Analysis"
|
|||
|
|
|||
|
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. |
|||