Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche

Israel Journal of Mathematics

Volumn 124, Issue , 2001, Pages 327-331

  Weitsman, Allen ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035650193     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02772628     Document Type: Article

References (6)

1. D. Dshouty and W. Hengartner, Univalent harmonic mappings in the plane, Annales Universitatis Mariae Curie-Skłodowska, Sectio A XLVIII 3 (1994), 12-42.
2. P. Duren, A survey of harmonic mappings in the plane, Texas Tech University Mathematics Series 18 (1992), 411-415.
3. A. Lyzzaik, The module of the image annuli under univalent harmonic mappings and a conjecture of J. C. C. Nitsche, preprint.
4. O. Lehto and K. I. Virtanen, Quasiconformal Mappings in the Plane, 2nd ed., Springer-Verlag, Berlin, 1973.
5. J.C.C. Nitsche, On the modulus of doubly-connected regions under harmonic mappings, The American Mathematical Monthly 69 (1962), 781-782.
6. G. Schober, Planar harmonic mappings, in Computational Methods and Function Theory Proceedings, Valparaiso 1989, Lectures Notes in Mathematics 1435, Springer-Verlag, Berlin, 1990, pp. 171-176.