Approximation in Morrey-Smirnov classes

Abstract

The Morrey-Smirnov classes EP, α(G), 0 < α ≤ 2 and p > 1, of the analytic functions in the domain G with a rectifiable Jordan boundary are defined. In these classes the inverse theorem of approximation theory is proved and the constructive characterizations problems of the generalized Lipschitz classes of functions are discussed.