Extremal Problems for the Classes S R -p and T R -p
Canadian journal of mathematics, Tome 42 (1990) no. 4, pp. 619-645

Voir la notice de l'article provenant de la source Cambridge University Press

Let H(D) be the linear space of analytic functions on a domain D of C endowed with the topology of locally uniform convergence and let H‘(D) be the topological dual space of H(D). For domains D which are symmetric with respect to the real axis we use the notation Furthermore, denote by S the set of all univalent mappings f defined on the unit disk Δ which are normalized by f (0) = 0 and f‘(0) =1.
DOI : 10.4153/CJM-1990-033-x
Mots-clés : 30C45
Hengartner, Walter; Szapiel, Wojciech. Extremal Problems for the Classes S R -p and T R -p. Canadian journal of mathematics, Tome 42 (1990) no. 4, pp. 619-645. doi: 10.4153/CJM-1990-033-x
@article{10_4153_CJM_1990_033_x,
     author = {Hengartner, Walter and Szapiel, Wojciech},
     title = {Extremal {Problems} for the {Classes} {S} {R} -p and {T} {R} -p},
     journal = {Canadian journal of mathematics},
     pages = {619--645},
     year = {1990},
     volume = {42},
     number = {4},
     doi = {10.4153/CJM-1990-033-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1990-033-x/}
}
TY  - JOUR
AU  - Hengartner, Walter
AU  - Szapiel, Wojciech
TI  - Extremal Problems for the Classes S R -p and T R -p
JO  - Canadian journal of mathematics
PY  - 1990
SP  - 619
EP  - 645
VL  - 42
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1990-033-x/
DO  - 10.4153/CJM-1990-033-x
ID  - 10_4153_CJM_1990_033_x
ER  - 
%0 Journal Article
%A Hengartner, Walter
%A Szapiel, Wojciech
%T Extremal Problems for the Classes S R -p and T R -p
%J Canadian journal of mathematics
%D 1990
%P 619-645
%V 42
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1990-033-x/
%R 10.4153/CJM-1990-033-x
%F 10_4153_CJM_1990_033_x

[1] 1. Brickman, L., Extreme points of the set of univalent functions, Bull. Amer. Soc. 76 (1970), 372–374. Google Scholar

[2] 2. Brickman, L., MacGregor, T.H., Wilken, D., Convex hulls of some classical families of univalentfunctions, Trans. Amer. Math. Soc. 156 (1971), 91–107. Google Scholar

[3] 3. Duren, P.L., Univalent functions, Springer- Verlag Berlin, 1983. Google Scholar

[4] 4. Duren, P.L., Schober, G., Nonvanishing univalent Junctions, Math. Z. 170 (1980), 195–216. Google Scholar

[5] 5. Goluzin, M.G., Geometric theory of functions of a complex variable, Translations of Math. Monographs, 26, Amer. Math. Soc. Providence, Rhode Island, 1969. Google Scholar

[6] 6. Koepf, W., On nonvanishing univalent functions with real coefficients, Math. Z. 192 (1986), 575–579. Google Scholar

[7] 7. Schober, G., Univalent functions - selected topics. Lecture Notes 478, Springer-Verlag Berlin, 1975. Google Scholar

[8] 8. Szapiel, W., Points extrémaux dans les ensembles convexes 1. Théorie générale, Bull. Acad. Polon. Sci., Math. 23 (1975), 939–945. Google Scholar

[9] 9. Szapiel, W., Extreme points of convex sets 2. Influence of normalisation on integral representations,, Bull. Acad. Polon. Sci., Math 29 (1981), 535–544. Google Scholar

[10] 10. Szapiel, W., Extreme points of convex sets 3. Montel's normalisation, Bull. Acad. Polon. Sci., Math. 30 (1982), 41–47. Google Scholar

[11] 11. Szapiel, M., Szapiel, W., Extreme points of convex sets 4. Bounded typically real functions, Bull. Acad. Polon. Sci., Math 30 (1982), 49–57. Google Scholar

[12] 12. Tammi, O., Extremum problems for bounded univalent functions, Lecture Notes 646, Springer- Veriag Berlin, 1978. Google Scholar

Cité par Sources :