- Tytuł:
- Univalent functions with logarithmic restrictions
- Autorzy:
- Grinshpan, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/1312531.pdf
- Data publikacji:
- 1991
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
univalent functions
logarithmic restrictions
Grunsky operator
quasiconformal extension
exponentiation technique
functions without common values
homeomorphic assembling - Opis:
- It is known that univalence property of regular functions is better understood in terms of some restrictions of logarithmic type. Such restrictions are connected with natural stratifications of the studied classes of univalent functions. The stratification of the basic class S of functions regular and univalent in the unit disk by the Grunsky operator norm as well as the more general one of the class * of pairs of univalent functions without common values by the τ-norm (this concept is introduced here) are given in the paper. Moreover, some properties of univalent functions whose range has finite logarithmic area are considered. To apply the logarithmic restrictions a special exponentiation technique is used.
- Źródło:
-
Annales Polonici Mathematici; 1991, 55, 1; 117-139
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł