Geodesic
Lip α Approximation on Closed Sets with Lip α Extension
Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 23-33

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Let F be a relatively closed subset of a domain G in the complex plane. Let f be a function that is the limit, in the Lip α norm on F, of functions which are holomorphic or meromorphic on G (0 < α < 1). We prove that, under the same conditions that give Lip α-approximation (0 < α < 1 ) on relatively closed subsets of G, it is possible to choose the approximating function m in such a way that f — m can be extended to a function belonging to lip
DOI : 10.4153/CMB-1995-004-3
Mots-clés : 30E10 
Bonilla, A. Lip α Approximation on Closed Sets with Lip α Extension. Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 23-33. doi: 10.4153/CMB-1995-004-3
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