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References
Ch. Pommerenke, “Linear-invariante Familien analytischer Funktionen. I,” Math. Ann., No. 155, 108–154 (1964).
V. V. Starkov, “Harmonic locally quasiconformal mappings,” Ann. Univ. Mariae Curie-Skłodowska Sect. A,49, 183–197 (1995).
V. V. Starkov, “Harmonic locally quasiconformal mappings,” Trudy Petrozavodsk. Univ. Ser. Mat.,1, 61–69 (1993).
W. Seidel and J. L. Walsh, “On the derivatives of functions analytic in the unit circle and their radii of univalence andp-valence,” Trans. Amer. Math. Soc.,52, 128–216 (1942).
E. Ligocka, “On the reproducing kernel for harmonic functions and the space of Blôch harmonic functions in the unit ball in {ie800-1},” Studia Math.,57, No. 1, 23–32 (1987).
Kehe Zhu, “The Bergman spaces, the Blôch space, and Gleason's problem,” Trans. Amer. Math. Soc.,309, No. 1, 253–268 (1988).
J. Godula and V. V. Starkov, “Applications of the idea of Möbius invariance to obtain equivalent definitions of Blôch function,” Ann. Univ. Mariae Curie-Skłodowska Sect. A,49, 41–58 (1995).
D. M. Campbell, J. A. Cima, and J. A. Pfaltzgraff, “Linear spaces and linear-invariant families of locally univalent analytic functions,” Manuscripta Math.,4, 1–30 (1971).
Ch. Pommerenke, “On Blôch functions,” J. London Math. Soc. (2),2, 689–695 (1970).
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Petrozavodsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 38, No. 4, pp. 915–924, July–August, 1997.
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Starkov, V.V. Univalence disks of harmonic locally quasiconformal mappings and harmonic Blôch functions. Sib Math J 38, 791–800 (1997). https://doi.org/10.1007/BF02674584
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DOI: https://doi.org/10.1007/BF02674584