Extension via interpolation
Volume 68 / 2005
Banach Center Publications 68 (2005), 43-49
MSC: Primary 46E10; Secondary 41A05, 41A10.
DOI: 10.4064/bc68-0-5
Abstract
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.