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.
KeywordsAnalytic Function Boundary Point Lipschitz Function Jordan Domain Compact Domain
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- 1.A. I. Stepanets, Methods of Approximation Theory [in Russian], Vol. 1, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1970).Google Scholar
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