摘要
Suppose G<sub>j</sub>= {z<sub>j</sub>||z<sub>j</sub>|【1}, G<sub>j</sub>= {z<sub>j</sub>||z<sub>j</sub>|=1},j= 1,2, G<sub>1 </sub>= {z<sub>1</sub>|ε【 |z<sub>1</sub>|【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<sub>1</sub>× G<sub>2</sub>, and λ≠0; γis a real H lder continuous functionon G<sub>1</sub>× G<sub>2</sub>, and let H<sub>β</sub>(γ) be its bound.(ii) f<sub>j</sub> is continuous with respect to (z<sub>1</sub> ,z<sub>2</sub>) ∈ <sub>1</sub>z× <sub>2</sub> and is holomorphic with respect to W ∈B<sub>R</sub> ={W||W|≤R, B is a positive constant}; f<sub>i</sub> satisfies compatibility condition.(iii) and and continuous with respect to (z<sub>1</sub>,z<sub>2</sub>, W) ∈ <sub>1</sub>× <sub>2</sub>× B<sub>R</sub>; f<sub>1</sub>,f<sub>2</sub>, and satisfyLipschitz condition with respect to W ∈B<sub>R</sub>, and let L<sub>R</sub> be the Lipschitz constant and K<sub>R</sub> be their bound.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
1991年第1期27-28,共2页
Journal of Sichuan Normal University(Natural Science)