摘要 : In this note we show that a harmonic quasiconformal mapping f = u + iv with respect to the Poincare metric of the upper half plane R-+(2) onto itself such that v(x, y) = v(y) or u(x, y) = u(x) is a conformal mapping. (C) 2008 Else... 展开 In this note we show that a harmonic quasiconformal mapping f = u + iv with respect to the Poincare metric of the upper half plane R-+(2) onto itself such that v(x, y) = v(y) or u(x, y) = u(x) is a conformal mapping. (C) 2008 Elsevier Inc. All rights reserved. 收起