Complex interpolation functors with a family of quasi-power function parameters
Volume 111 / 1994
Studia Mathematica 111 (1994), 283-305 DOI: 10.4064/sm-111-3-283-305
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-Lozanovskiĭ 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.