A note on harmonic quasiconformal mappings |
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| Authors: | Xingdi Chen Ainong Fang |
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| Institution: | a Department of Mathematics, Huaqiao University, Quanzhou, Fujian 362021, PR China
b Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, PR China |
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| Abstract: | In this note we show that a harmonic quasiconformal mapping f=u+iv with respect to the Poincaré metric of the upper half plane  onto itself such that v(x,y)=v(y) or u(x,y)=u(x) is a conformal mapping. |
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| Keywords: | Harmonic mappings Quasiconformal mappings Harmonic quasiconformal mappings |
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