Differential processes generated by two interpolators
Abstract
We study couples of interpolators, the differentials they generate and their associated commutator theorems. An essential part of our analysis is the study of the intrinsic symmetries of the process. Since we work without any compatibility or categorical assumption, our results are flexible enough to generalize most known results for commutators or translation operators, in particular those of Cwikel, Kalton, Milman, Rochberg ckmr for differential methods and those of Carro, Cerd\`a and Soria caceso for compatible interpolators. We also generalize stability and singularity results in cfg,ccfg,correa from the complex method to general differential methods and obtain new incomparability results.
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