G. Khuskivadze and V. Paatashvili

On Zaremba'S Boundary Value Problem for Harmonic Functions of Smirnov Classes

abstract:
Analogously to Smirnov classes of analytic functions, Smirnov classes of harmonic functions are introduced and mixed Zaremba's boundary value problem is studed in them, i.e., the problem of constructing a harmonic function when on a part of the boundary its values are given, while on the remaining part the values of its normal derivative.

Mathematics Subject Classification: 35J05, 35J25

Key words and phrases: Smirnov classes of harmonic function, Mixed problem for harmonc function