【摘要】 当L为典型的分形曲线一Koch曲线时,提出了Riemann边值问题,但在一般情况下,在Koch曲线上所做的Cauchy型积分无意义.当对已知函数G(z),g(z)增加一定的解析条件,同时利用一列Cauchy型积分的极限函数,对定义在Koch曲线上的齐次Riemann边值问题进行了讨论,并得到与经典解析函数边值问题相类似的结果.更多还原

【Abstract】 In this paper,when Lis substituted for Koch curve,Riemann boundary value problems was defined,but generally speaking,Cauchy-type integral is meaningless on Koch curve.When some analytic conditions are attached to functions G(z)and g(z),through the limit function of a sequence of Cauchy-type integrals,the homogeneous Riemann boundary problems on Koch curve are introduced,some similar results was attained with the classical boundary value problems for analytic functions.更多还原