Essential normality for certain weighted composition operators on the Hardy space H^2

Authors: MAHSA FATEHI, BAHRAM KHANI ROBATI

Abstract: We characterize the essentially normal weighted composition operators C_{\psi,\varphi} on the Hardy space H^2, whenever \varphi is a linear-fractional transformation and \psi \in A(D). Also we investigate the essential normality problem for some other weighted composition operators on H^2.

Keywords: Hardy spaces, essentially normal, weighted composition operator, linear-fractional transformation

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