Essential normality for certain weighted composition operators on the Hardy space H2

We characterize the essentially normal weighted composition operators Cy,j on the Hardy space H2, whenever j is a linear-fractional transformation and y \in A(D). Also we investigate the essential normality problem for some other weighted composition operators on H2.

Anahtar Kelimeler:

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

Essential normality for certain weighted composition operators on the Hardy space H2

Keywords:

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

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Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IRAN. e-mail:fatehi@shirazu.ac.ir Bahram KHANI ROBATI
Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IRAN e-mail: bkhani@shirazu.ac.ir