Harmonic Mappings of the Hexagasket to the Circle

Harmonic Mappings of the Hexagasket to the Circle

Year:    2011

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 377–386

Abstract

Harmonic mappings from the hexagasket to the circle are described in terms of boundary values and topological data. Explicit formulas are also given for the energy of the mapping. We have generalized the results in [10].

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.1007/s10496-011-0377-z

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 377–386

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    hexagasket harmonic mapping self-similar Dirichlet form.