The General Solution of the Homogeneous Riemann Problem in Weighted Smirnov Classes with General Weight

摘要

Homogeneous Riemann problem of the theory of analytic functions with a piecewise continuous coefficient in weighted Smirnov classes with a general weight is considered. The conditions on the coefficient of the problem and on the weight function are found, which ensure the construction of a general solution for the homogeneous problem in the corresponding weighted Smirnov classes. Special cases of weight function are considered.