A single abstract theorem about pairs of interpolators unifies the commutator theorems of Cwikel-Kalton-Milman-Rochberg, Carro-Cerda-Soria, and translation operators, together with new symmetry, stability, and incomparability results.
Higher order derivatives of analytic families of Banach spaces
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abstract
We show that the Rochberg spaces induced by complex interpolation form themselves complex interpolation scales, obtain the interpolated spaces and associated derivations. We present our results in the context of analytic families of Banach spaces and study the problem of determining the Rochberg spaces induced by these new families.
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math.FA 1years
2019 1verdicts
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Differential processes generated by two interpolators
A single abstract theorem about pairs of interpolators unifies the commutator theorems of Cwikel-Kalton-Milman-Rochberg, Carro-Cerda-Soria, and translation operators, together with new symmetry, stability, and incomparability results.