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Composition Operators on the Space of Bounded Harmonic Functions
Authors:Jun Soo Choa  Kei Ji Izuchi  Shûichi Ohno
Institution:(1) Department of Mathematics Education, Sungkyunkwan University, Jongro-gu, Seoul, 110-745, Korea;(2) Department of Mathematics, Niigata University, Niigata 950-2181, Japan;(3) Nippon Institute of Technology, Miyashiro, Minami-Saitama 345-8501, Japan
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. The third author is partially supported by Grant-in-Aid for Scientific Research (No.17540169), Japan Society for the Promotion of Science.
Keywords:Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000)    Primary 47B33  Secondary 46J15
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