摘要
本文研究m×s阶矩阵值函数的Cauchy型积分的性质.证明它的Q—全纯性生边界极限值的Holder连续性,建立了Cauchy主值积分的Pojncare—Bertrand公式和反演公式.
In this paper we study the properties of the Cauchy type integral
for the MXS matrix valued function, here L is simple smooth closed curve. μ(Z) ∈Hλ(L), 0<λ<1. We show that it is Q - holomorphic for all Z∈- and boundary valued W±(t) t∈L) arc Holder - continuous, and establish analogues of the classical Poincare - Bertrand formula and inversion formula of the Cauchytype principal valued integral.
关键词
Q全纯
矩阵值函数
PLEMELJ公式
Q - holomorphic Plemelj- formula Cauchy type integral Generatingsolution Φ-derivative
