V. Kokilashvili,  V. Paatashvili

A Problem of Linear Conjugation for Analytic Functions with Boundary Values from the Zygmund Class

The solvability conditions are established for a problem of linear conjugation for analytic functions with boundary values from the Zygmund class L( ln+ L)a when the conjugation coefficient is piecewise-continuous in the Hölder sense. Solutions of the problem are constructed in explicit form.