Interpolation and extrapolation of smooth functions by linear operators

  • Charles Fefferman

    Princeton University, United States

Abstract

Let be the space of functions on whose derivatives are Lipschitz 1. For , let be the space of all restrictions to of functions in . We show that there exists a bounded linear operator such that, for any , we have on .

Cite this article

Charles Fefferman, Interpolation and extrapolation of smooth functions by linear operators. Rev. Mat. Iberoam. 21 (2005), no. 1, pp. 313–348

DOI 10.4171/RMI/424