Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals

Abstract

On a class of differentiable functions W ^r and the class $\overline W ^r$ of functions conjugate to them, we obtain a complete asymptotic expansion of the upper bounds $\mathcal{E}(\mathfrak{N},A\rho )_C$ of deviations of the harmonic Poisson integrals of the functions considered.