Optimal behavior of weighted Hardy operators on rearrangement‐invariant spaces

Generalized composition operators on weighted Hardy spaces

Spatial Numerical Range of Operators on Weighted Hardy Spaces

Norms of Composition Operators on Weighted Hardy Spaces

The norm of a bounded composition operator induced by a disc automorphism is estimated on weighted Hardy spaces H(β) in which the classical Hardy space is continuously embedded. The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence β. As a by-product of our results, an estimate for the norm of any bounded composition operator on ...

Some Properties of Composition Operators on Weighted Hardy Spaces

Let φ be an analytic map of unit disk D into itself, consider the composition operator Cφ defined by Cφ(f) = f◦φ whenever f is analytic on D. In this paper, we discuss necessary and sufficient conditions under which a composition operator on a large class of weighted Hardy spaces is a compact.

Approximation Numbers of Composition Operators on Weighted Hardy Spaces

In this paper we find upper and lower bounds for approximation numbers of compact composition operators on the weighted Hardy spaces Hσ under some conditions on the weight function σ.