G. Khuskivadze and V. Paatashvili
abstract:
Zaremba's problem is studied in weighted Smirnov classes of harmonic functions
in domains bounded by arbitrary simple smooth curves as well as in some domains
with piecewise-smooth boundaries. The conditions of solvability are obtained and
the solutions are written in quadratures.
Mathematics Subject Classification: 35J25, 31A05
Key words and phrases: Harmonic functions of Smirnov type, Zaremba's problem, mixed problem, weighted functions, Poisson integral, singular integral equation in a weight Lebesgue space