DIRICHLET TYPE PROBLEM IN WEIGHTED SPACES OF BIHARMONIC FUNCTIONS

摘要

In the papers [1] - [5] boundary value problems for analytic and harmonic functions with the boundary conditions understood in the sense of mean convergence in the classes L~1 and L~1(ρ) {t) 改成 (t) were considered. The present article is devoted to investigation of the problem (1) - (3) in the case, where t - 1 is the unique singular point of the weight function ρ(t) assumed to be RO-varying at t = 1 (the definitions are given below). For any f_0(t), f_0{t) from L~1(ρ) a geometric condition implying solvability of the problem (1)-(3) is found