Integral Equations and Operator Theory

, Volume 61, Issue 2, pp 167–186 | Cite as

Composition Operators on the Space of Bounded Harmonic Functions

Article

Abstract.

We study composition operators on the space of bounded harmonic functions on the open unit disk. The principal goal of this paper is to provide criteria for determining the essential norm of difference of two composition operators.

Mathematics Subject Classification (2000).

Primary 47B33 Secondary 46J15 

Keywords.

Composition operators the space of harmonic functions essential norm difference of composition operators 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhaueser 2008

Authors and Affiliations

  1. 1.Department of Mathematics EducationSungkyunkwan UniversityJongro-gu, SeoulKorea
  2. 2.Department of MathematicsNiigata UniversityNiigataJapan
  3. 3.Nippon Institute of Technology, MiyashiroMinami-SaitamaJapan

Personalised recommendations