Recently, Jawerth, Rochberg and Weiss have studied nonlinear maps arising from interpolation theory which satisfy commutator relationships with interpolated linear operators. Here we present a very general result of this type for rearrangement-invariant Banach function spaces.
We develop a general theory of extrapolation spaces, a complement to the familiar theory of interpolation spaces. Our results allow us to extend the classical extrapolation theorem of Yano to scales of Banach spaces. We give applications to classical and modern analysis includin…
Introduction Calderon weights Applications to real interpolation: reiteration and extrapolation Other classes of weights Extrapolation of weighted norm inequalities via extrapolation theory Applications to function spaces Commutators defined by the K-method Generalized commutato…
