Dunford-Pettis composition operators on in several variables
Authors:
A. Matheson
Affiliation:
Department of Mathematics, Lamar University, Beaumont, Texas 77710
Abstract:
A bounded composition operator on , where is the unit ball in , is Dunford-Pettis if and only if the radial limit function of takes values on the unit sphere only on a set of surface measure zero. A similar theorem holds on bounded strongly pseudoconvex domains with smooth boundary.