discipline

Mathematics

subject

Geometric function theory

lecturers

Gábor Halász

credits

2

period

first semester

curriculum

Phragmén-Lindelöf type theorems.

 

Capacity. Tchebycheff constant. Transfinite diameter. Green function and Robin constant. Capacity and Hausdorff measure. Conformal radius.

 

Area principle. Koebe distortion theorems. Coefficient estimation for univalent functions.

 

Area-length principle. Extremal length. Modulus of quadruples and rings. Quasi-conformal maps. Extension to the boundary. Quasi-symmetric functions. Quasi-conformal curves.

 

literature

 

form of tuition

Lectures

mode of assessment

oral exam