On weighted generalized composition operators on weighted hardy spaces

Abstract

The present paper introduces the class of weighted generalized composition operators of higher order defined on the weighted Hardy spaces. The study of bounded operators belonging to this class is undertaken and an attempt is made to describe their structural and spectral properties.

Generalized weighted composition operators on weighted Hardy spaces

“…Some properties of weighted composition-differentiation operators were investigated in [6,15,16,20]. See [2,21,27,[29][30][31][32][33] for more results on generalized weighted composition operators on analytic function spaces.…”