A+ CATEGORY SCIENTIFIC UNIT

Extension via interpolation

Volume 68 / 2005

A. Goncharov 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.

Authors

  • A. GoncharovDepartment of Mathematics
    Bilkent University
    06800 Ankara, Turkey
    e-mail

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