In this article we discuss the explicit solvability of both Schwarz boundary value problem and Riemann-Hilbert boundary value problem on a half hexagon in the complex plane. Schwarz-type and Pompeiu-type integrals are...In this article we discuss the explicit solvability of both Schwarz boundary value problem and Riemann-Hilbert boundary value problem on a half hexagon in the complex plane. Schwarz-type and Pompeiu-type integrals are obtained. The boundary behavior of these operators is discussed. Finally, we investigate the Schwarz problem and the Riemann-Hilbert problem for inhomogeneous Cauchy-Riemann equations.展开更多
文摘In this article we discuss the explicit solvability of both Schwarz boundary value problem and Riemann-Hilbert boundary value problem on a half hexagon in the complex plane. Schwarz-type and Pompeiu-type integrals are obtained. The boundary behavior of these operators is discussed. Finally, we investigate the Schwarz problem and the Riemann-Hilbert problem for inhomogeneous Cauchy-Riemann equations.
