Higher order derivatives of analytic families of Banach spaces

被引：2

作者：

Sanchez, Felix Cabello ^{[1
]}

Castillo, Jesus M. F. ^{[1
]}

Correa, Willian H. G. ^{[2
]}

机构：

[1] Univ Extremadura, Inst Matemat IMUEX, Badajoz 06011, Spain

[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, BR-13566590 Sao Carlos, SP, Brazil

来源：

STUDIA MATHEMATICA | 2023年 / 272卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

complex interpolation; analytic family; differential; exact sequence; twisted sum; COMPLEX INTERPOLATION; TWISTED SUMS;

D O I：

10.4064/sm220919-3-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Rochberg spaces generated by complex interpolation form themselves complex interpolation scales and obtain their new 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.

引用

页码：245 / 298

页数：54

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