Block constants for planar harmonic mappings

Proceedings of the American Mathematical Society

Volumn 128, Issue 11, 2000, Pages 3231-3240

  Chen, Huaihui ^a   Gauthier, P M ^a   Hengartner, W ^a  

^a NANJING NORMAL UNIVERSITY   (China)

Author keywords

Bloch constant; Harmonic mappings

Indexed keywords

EID: 33644501850     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-00-05590-8     Document Type: Article

References (7)

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2. D. Bshouty and W. Hengartner, Univalent harmonic mappings in the plane, Ann. Univ. Mariae Curie-Sklodowska Sect. A 48 (1994), 12-42.MR 96m:30025
3. H. Chen and P. M. Gauthier, On Bloch's constant, J. Anal. Math. 69 (1996), 275-291.MR 97j:30002
4. E. Heinz, On one-to-one harmonic mappings, Pacific J. Math. 9 (1959), 101-105.MR 21:3683
5. H. Lewy, On the non-vanishing of the Jacobian in certain one-to-one mappings, Bull. Amer. Math. Soc. 42 (1936), 689-692.
6. S. Stoïlow, Principes topologiques de la théorie des fonctions analytiques, 1938. Gauthier-Villars.
7. J. C. Wood, Lewy's theorem fails in higher dimensions, Math. Scand. 69 (1991), 166.MR 93a:58024