2010•Journal of Sichuan University of Science & EngineeringRequires access

Weighted Composition Operator on Bergman Space

Hong-bin Bai

Abstract

The weighted composition operator compactness on the Bergman space is charactered in the paper.Firstly,the spectrum,eigenvalues and eigenspaces of unitary weighted composition operator are computed.Secondly,the eigenvector and compute spectrum of compact self-adjoint weighted composition operator on Bergman space are discussed.

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Key concepts: Composition operator, Mathematics, Bergman space, Composition (language), Eigenvalues and eigenvectors, Spectrum (functional analysis), Compact operator, Operator (biology)