| 摘 要： | Suppose G_j= {z_j||z_j|<1}, G_j= {z_j||z_j|=1},j= 1,2, G_(1 )= {z_1|ε< |z_1|<1},where εisa constant, 0 <ε<1 . We consider the pseudo-Riemann-Hilbert problem;We assume that(i) λis a H lder continuous function on G_1× G_2, and λ≠0; γis a real H lder continuous functionon G_1× G_2, and let H_β(γ) be its bound.(ii) f_j is continuous with respect to (z_1 ,z_2) ∈ _1z× _2 and is holomorphic with respect to W ∈B_R ={W||W|≤R, B is a positive constant}; f_i satisfies compatibility condition.(iii) and and continuous with respect to (z_1,z_2, W) ∈ _1× _2× B_R; f_1,f_2, and satisfyLipschitz condition with respect to W ∈B_R, and let L_R be the Lipschitz constant and K_R be their bound.
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