Higher order derivatives of analytic families of Banach spaces

2019/06/16 by Sánchez, Félix Cabello, Castillo, Jesús M. F., Correa, Willian H. G.
#46B70 #46H99 #46M18 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1906.06677

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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