대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제50권4호
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  • Pages.1377-1387
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  • 2013
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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QUASICONFORMAL EXTENSIONS OF STARLIKE HARMONIC MAPPINGS IN THE UNIT DISC

  • 투고 : 2012.11.08
  • 발행 : 2013.07.31
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초록

Let $f$ be a harmonic mapping on the unit disc ${\Delta}$ in $\mathbb{C}$. We give some condition for $f$ to be a quasiconformal homeomorphism on ${\Delta}$ and to have a quasiconformal extension to the whole plane $\bar{\mathbb{C}}$. We also obtain quasiconformal extension results for starlike harmonic mappings of order ${\alpha}{\in}(0,1)$.

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참고문헌

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피인용 문헌

  1. Pluriharmonic mappings in Cn and complex Banach spaces vol.426, pp.2, 2015, https://doi.org/10.1016/j.jmaa.2015.01.052