Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 4

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

Pages
583–595
DOI
—

Abstract

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.

Özet

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.

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