Abstract
The following Riemann–Hilbert problem is solved: find an analytical function Φ from the Smirnov class Ep
(D), whose angular boundary values satisfy the condition
Re[(a(t) + ib(t))Φ+ (t)] = ƒ(t).
The boundary Γ of the domain D is assumed to be a piecewise smooth curve whose nonintersecting Lyapunov arcs form, with respect to D, the inner angles with values νkπ, 0 < νk
≤ 2.
On boundedness and angular boundary values of subharmonic functions of classes ℜθ
