A generalized Hilbert matrix acting on Hardy spaces

Composition operators acting on weighted Hilbert spaces of analytic functions

In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and  observed that a formula for the  essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators  are investigated.

On the Generalized Hardy Spaces

and Applied Analysis 3 Definition 2.1. Let F : H U → H U be a linear operator such that F f 0 if and only if f 0, that is, F is 1-1. For 1 ≤ p < ∞, the generalized Hardy space HF,p U HF,p is defined to be the collection of all analytic functions f on U for which

Generalized Frames in Hilbert Spaces

Generalized composition operators on weighted Hardy spaces

Multipliers of generalized frames in Hilbert spaces