EuDML | Browse

Let $N_{α}$ ,B and Qβ be the weighted Nevanlinna space, the Bloch space and the Q space, respectively. Note that B and $Q_{β}$ are Möbius invariant, but $N_{α}$ is not. We characterize, in function-theoretic terms, when the composition operator $C_{ϕ} f = f ◦ ϕ$ induced by an analytic self-map ϕ of the unit disk defines an operator $C_{ϕ} : N_{α} \to B$ , $B \to Q_{β}$ , $N_{α} \to Q_{β}$ which is bounded resp. compact.

Counterexamples on non- $α$ -normal functions with good integrability.

Aulaskari, Rauno, Makhmutov, Shamil, Rättyä, Jouni (2011)

The New York Journal of Mathematics [electronic only]

Displaying 1 – 6 of 6

Carleson measure, atomic decomposition and free interpolation from Bloch space.

Characterization of the Set of Limit Points of the Zeros of Annular Functions.

Cluster sets and essential cluster sets of meromorphic functions.

Composition operators in hyperbolic Q -classes.

Composition operators: N α to the Bloch space to Q β

Counterexamples on non- α -normal functions with good integrability.

Currently displaying 1 – 6 of 6

Composition operators in hyperbolic $Q$ -classes.

Composition operators: $N_{α}$ to the Bloch space to $Q_{β}$

Counterexamples on non- $α$ -normal functions with good integrability.