Modules of continuity and analytic functions
For a function analytic in a compact domain and continuous in its closure, it is shown that the modules of continuity on the boundary of the domain and in its closure coincide.
English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 8, pp 1285-1294.
Citation Example: Trohimchuk Yu. Yu Modules of continuity and analytic functions // Ukr. Mat. Zh. - 2010. - 62, № 8. - pp. 1106–1113.