Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk

Annales Academiae Scientiarum Fennicae Mathematica

Volumn 27, Issue 2, 2002, Pages 365-372

  Pavlović, Miroslav ^a  

^a UNIVERSITY OF BELGRADE   (Serbia)

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EID: 0036459356     PISSN: 1239629X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

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2. Choquet, G.: Sur une type de transformation analytique généralisant la représentation conforme et définie au moyen fonctions harmoniques. - Bull. Sci. Math. (2) 69, 1945, 156-165.
3. Clunie, J., and T. Sheil-Small: Harmonic univalent functions. - Ann. Acad. Sci. Fenn. Math. 9, 1984, 3-25.
4. p Spaces. - Academic Press, 1970.
5. Duren, P.L.: Univalent Functions. - Springer-Verlag, 1983.
6. Garnett, J.B.: Bounded Analytic Functions. - Academic Press, 1981.
7. Heinz, E.: One-to-one harmonic mappings. - Pacific J. Math. 9, 1959, 101-105.
8. Lewy, H.: On the non-vanishing of the Jacobian in certain one-to-one mappings. - Bull. Amer. Math. Soc. 42, 1936, 689-692.
9. Martio, O.: On harmonic quasiconformal mappings. - Ann. Acad. Sci. Fenn. Math. 1968, 3-10.
10. Partyka, D., and K. Sakan: A note on non-quasiconformal harmonic extensions. - Bull. Soc. Sci. Lettres Lodz 47, 1997, 51-63.
11. Zygmund, A.: Trigonometric Series I. - Cambridge University Press, 1958.