A natural localization of Hardy spaces in several complex variables
Volume 66 / 1997
Annales Polonici Mathematici 66 (1997), 183-201
DOI: 10.4064/ap-66-1-183-201
Abstract
Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in $ℂ^n$. The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop's property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.
