Commutators in real interpolation with quasi‐power parameters

Abstract

The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi-power parameters, that is, the function spaces on which Hardy inequalities are valid. This theorem unifies and extends various results given by Cwikel, Jawerth, Milman, Rochberg, and others, and incorporates some results of Kalton to the context of commutator estimates for the real interpolation methods.

An Abstract Coifman–rochberg–weiss Commutator Theorem

“…So publication was delayed somewhat and in the mean time several papers on the subject have appeared. In particular, [17] has similar statements framed in terms of weights of the form (5.1) w(t) = φ(log t), with φ Lipchitz.…”