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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     author = {Bonilla, A.},
     title = {Lip \ensuremath{\alpha} {Approximation} on {Closed} {Sets} with {Lip} \ensuremath{\alpha} {Extension}},
     journal = {Canadian mathematical bulletin},
     pages = {23--33},
     year = {1995},
     volume = {38},
     number = {1},
     doi = {10.4153/CMB-1995-004-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-004-3/}
}
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