Michael Cwikel

A theory of complex interpolation for families of Banach spaces

Abstract A detailed development is given of a theory of complex interpolation for families of Banach spaces which extends the well-known theory for pairs of spaces.

Complex interpolation of some quasi-Banach spaces

Abstract We interpolate in the complex method some real-intermediate quasi-Banach spaces. This enables us for example to get in a unified way complex interpolation of H p spaces 0 p 0 p 1 H p spaces could be the standard ones as well as weighted H p spaces, H p spaces on product domains, etc.

Are generalized Lorentz “spaces” really spaces?

Let

Interpolation of compact operators by the methods of Calderón and Gustavsson–Peetre

w

On the fundamental lemma of interpolation theory

be a non-negative measurable function on

Real and complex interpolation methods for finite and infinite families of Banach spaces

(0,\infty)

Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices

, non-identically zero, such that

On a convolution inequality of Saitoh

W(t)=\int_0^tw(s)ds0

Positive multilinear operators acting on weighted Lp spaces

. The authors study conditions on

Admissible sets and feedback control for discrete-time linear dynamical systems with bounded controls and states

w