Fan, Ming Complex interpolation functors with a family of quasi-power function parameters. (English) Zbl 0805.46075 Stud. Math. 111, No. 3, 283-305 (1994). Summary: For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskij construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters which are quasi-powers with a logarithmic factor. Cited in 1 Document MSC: 46M35 Abstract interpolation of topological vector spaces 46B70 Interpolation between normed linear spaces 46M15 Categories, functors in functional analysis 46B03 Isomorphic theory (including renorming) of Banach spaces Keywords:complex interpolation functors associated with derivatives of analytic functions; Calderón fundamental inequality; discretization; reiteration; Calderón-Lozanovskij construction for Banach lattices; Aronszajn-Gagliardo construction concerning minimality and maximality PDFBibTeX XMLCite \textit{M. Fan}, Stud. Math. 111, No. 3, 283--305 (1994; Zbl 0805.46075) Full Text: DOI EuDML