Abstract:
The following two classes of functions are introduced for $p\ge0$: the class $CU^p(G)$ of uniformly continuous functions of order $p$ in a domain $G\subset\mathbb C$, and the class $\mathfrak M^p(G)$ of functions of the boundedness of order $p$ in $G$. Criterions are established for an $n$-analytic function to belong to each of these classes.