Commutators and interpolation methods

A Unified Theory of Commutator Estimates for a Class of Interpolation Methods

“…A A, AND SORIA Let us here try to clarify the similarities and differences between our approach to commutator theorems and the one presented in [8].…”

“…We shall establish a ''commutator'' theorem for our derivation mappings, which includes as special cases the commutator theorems developed in the preceding references and thus also the two results mentioned in Remark 1.1. We recall once more that an alternative method of putting these kinds of results into a more general abstract framework has been developed in [8].…”

“…But it was also asked long ago, e.g. in [20], whether a general method could be given to unify the approaches to the real and complex methods, and of course the above-mentioned work [8] subsequently showed one way in which this is possible.…”

“…See e.g. [8][9][10], and, in particular, [11] for a summary and general survey of their work on this topic. Their initial paper [8] also includes answers to some questions raised in [20].…”

“…[8][9][10], and, in particular, [11] for a summary and general survey of their work on this topic. Their initial paper [8] also includes answers to some questions raised in [20]. At various stages in this paper we shall make a number of comparisons between this material, particularly in [8,9], and our own approach.…”