, Volume 71, Issue 1, pp 91-111
Date: 26 May 2011

Weighted Composition Operators on the Space of Bounded Harmonic Functions

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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.

K. J. Izuchi is partially supported by Grant-in-Aid for Scientific Research (No.21540166), Japan Society for the Promotion of Science.
S. Ohno is partially supported by Grant-in-Aid for Scientific Research (No.20540185), Japan Society for the Promotion of Science.