Extension via interpolation
A. Goncharov
Banach Center Publications, Tome 68 (2005), p. 43-49 / Harvested from The Polish Digital Mathematics Library
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We suggest a modification of the Pawłucki and Pleśniak method to construct a continuous linear extension operator by means of interpolation polynomials. As an illustration we present explicitly the extension operator for the space of Whitney functions given on the Cantor ternary set.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:281908 
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     author = {A. Goncharov},
     title = {Extension via interpolation},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {43-49},
     zbl = {1092.46019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-5}
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A. Goncharov. Extension via interpolation. Banach Center Publications, Tome 68 (2005) pp. 43-49. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-5/