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