Approximation and entropy numbers of composition operators

Abstract

We give a survey on approximation numbers of composition operators on the Hardy space, on the disk and on the polydisk, and add corresponding new results on their entropy numbers, revealing how they are different.

Keywords

• approximation numbers
• composition operator
• entropy numbers
• polydisk
• pluricapacity
• primary: 47b33
• secondary: 30h10; 32a35; 46b06