Ebook: Univalent Functions and Teichmüller Spaces

The interplay between the theory of univalent functions and the theory
of Teichmiiller spaces is the main theme of this monograph. We do give a
proof of the above mentioned classical uniqueness and existence theorems of
Teichmiiller and discuss their consequences. But the emphasis is on the study
of the repercussions of Bers’s method, with attention both to univalent func¬
tions and to Teichmiiller spaces. It follows that even though the topics dealt
with provide an introduction to the Teichmiiller theory, they leave aside
many of its important aspects.