Title of article :
Essential normality for certain weighted composition operators on the Hardy space H^2
Author/Authors :
Fatehi, Mahsa shiraz university - College of Sciences - Department of Mathematics, شيراز, ايران , Khani Robati, Bahram shiraz university - College of Sciences - Department of Mathematics, شيراز, ايران
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics