Weighted Composition Operators on the Space of Bounded Harmonic Functions

Article

DOI: 10.1007/s00020-011-1886-z

Cite this article as:
Izuchi, K.J., Izuchi, Y. & Ohno, S. Integr. Equ. Oper. Theory (2011) 71: 91. doi:10.1007/s00020-011-1886-z

Abstract

We determine the norm and the essential norm of the difference of weighted composition operators on the space of bounded harmonic functions on the open unit disk. The argument is done on the boundary.

Mathematics Subject Classification (2010)

Primary 47B38Secondary 30H10

Keywords

Weighted composition operatorthe space of bounded harmonic functionsessential norm

Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Department of MathematicsNiigata UniversityNiigataJapan
  2. 2.NiigataJapan
  3. 3.Nippon Institute of TechnologyMiyashiro, Minami-SaitamaJapan