Add to ORKGAbstract. For analytic self-maps ϕ of the unit disk, we develop a nec-essary and sufficient condition for the composition operator Cϕ to be closed-range on the classical Bergman space A2. This condition is rela-tively easy to apply. Particular attention is given to the case that ϕ is an inner function. Included are observations concerning angular deriv-atives of Blaschke products. In the case that ϕ is univalent, it is shown that Cϕ is closed-range on A2 only if ϕ is an automorphism of the disk
AbstractWe investigate the shape of the numerical range for composition operators induced on the Har...
summary:Let $\varphi $ be an analytic self-mapping of $\mathbb {D}$ and $g$ an analytic function ...
Abstract. Suppose that φ is a nonconstant analytic self-mapping of the unit disk D. Necessary or suf...
For any analytic self-map φ of {z : |z| \u3c 1} we give four separate conditions, each of which is n...
Let φ be an analytic self-map of the unit disk D. The composition operator with symbol φ is denoted ...
Let $\phi$ be an analytic self-map of the unit disk $\mathbb{D}:=\{z:\lvert z\rver
We work on the Hardy space H2 of the open unit disc U, and consider the numerical ranges of composit...
Abstract. If ϕ is an analytic self-map of the open unit disk D with bounded valence and 2 6 p < +...
We show that a Carleson measure satisfies the reverse Carleson condition if and only if its Berezin ...
Abstract. In this paper we investigate the following problem: when a bounded analytic function ϕ on ...
ABSTRACT. Under a mild condition we show that a composition opera-tor Cϕ is compact on the Bergman s...
We investigate the shape of the numerical range for composition operators induced on the Hardy space...
Abstract Suppose that ϕ is an analytic self-map of the unit disk Δ. We consider compactness of the c...
AbstractSuppose that ϕ is a nonconstant analytic self-map of the unit disk D. Compactness of composi...
Composition operators Cϕ induced by a selfmap ϕ of some set S are operators acting on a space consis...
AbstractWe investigate the shape of the numerical range for composition operators induced on the Har...
summary:Let $\varphi $ be an analytic self-mapping of $\mathbb {D}$ and $g$ an analytic function ...
Abstract. Suppose that φ is a nonconstant analytic self-mapping of the unit disk D. Necessary or suf...
For any analytic self-map φ of {z : |z| \u3c 1} we give four separate conditions, each of which is n...
Let φ be an analytic self-map of the unit disk D. The composition operator with symbol φ is denoted ...
Let $\phi$ be an analytic self-map of the unit disk $\mathbb{D}:=\{z:\lvert z\rver
We work on the Hardy space H2 of the open unit disc U, and consider the numerical ranges of composit...
Abstract. If ϕ is an analytic self-map of the open unit disk D with bounded valence and 2 6 p < +...
We show that a Carleson measure satisfies the reverse Carleson condition if and only if its Berezin ...
Abstract. In this paper we investigate the following problem: when a bounded analytic function ϕ on ...
ABSTRACT. Under a mild condition we show that a composition opera-tor Cϕ is compact on the Bergman s...
We investigate the shape of the numerical range for composition operators induced on the Hardy space...
Abstract Suppose that ϕ is an analytic self-map of the unit disk Δ. We consider compactness of the c...
AbstractSuppose that ϕ is a nonconstant analytic self-map of the unit disk D. Compactness of composi...
Composition operators Cϕ induced by a selfmap ϕ of some set S are operators acting on a space consis...
AbstractWe investigate the shape of the numerical range for composition operators induced on the Har...
summary:Let $\varphi $ be an analytic self-mapping of $\mathbb {D}$ and $g$ an analytic function ...
Abstract. Suppose that φ is a nonconstant analytic self-mapping of the unit disk D. Necessary or suf...