Integral Equations and Operator Theory

, Volume 61, Issue 2, pp 167–186

Composition Operators on the Space of Bounded Harmonic Functions

Article

DOI: 10.1007/s00020-008-1579-4

Cite this article as:
Choa, J.S., Izuchi, K.J. & Ohno, S. Integr. equ. oper. theory (2008) 61: 167. doi:10.1007/s00020-008-1579-4

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 47B33Secondary 46J15

Keywords.

Composition operatorsthe space of harmonic functionsessential normdifference of composition operators

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