Some examples of extension by linear operators
Charles Fefferman
Princeton University, United StatesFulvio Ricci
Scuola Normale Superiore, Pisa, Italy
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Abstract
For two kinds of sets in , we prove the existence of linear continuous operators extending functions on to functions on . The sets we consider are: (a) sequences of points in the real line converging to 0 at a polynomial rate, (b) flag-shaped sets in the plane, which are unions of half-lines with slopes as in (a).
Cite this article
Charles Fefferman, Fulvio Ricci, Some examples of extension by linear operators. Rev. Mat. Iberoam. 28 (2012), no. 1, pp. 297–304
DOI 10.4171/RMI/678