Interpolation with function parameter and UMD spaces

  1. Cobos Díaz, Fernando
Journal:
Extracta mathematicae

ISSN: 0213-8743

Year of publication: 1986

Volume: 1

Issue: 1

Pages: 22-24

Type: Article

More publications in: Extracta mathematicae

Abstract

A (real or complex) Banach space E is said to have the unconditionaly property for martingale differences (UMD-property, for short) if E-values martingale differences are unconditional in Lp(E;[0,1]). The main reason for the interest in this new class of spaces is that the analogues of several classical results on martingales and singular integrals are also true for a Banach space belonging to this class.