Integral Equations and Operator Theory

, 71:91

Weighted Composition Operators on the Space of Bounded Harmonic Functions

Authors

  • Kei Ji Izuchi
    • Department of MathematicsNiigata University
  • Yuko Izuchi
    • Nippon Institute of Technology
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
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© Springer Basel AG 2011