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Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
Authors: Elke Wolf
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Abstract
Let $\phi$ be an analytic self-map of the open unit disk $\mathbb{D}$ in the complex plane. Such a map induces through composition a linear composition operator $C_{\phi}: f \mapsto f \circ \phi$. We are interested in the combination of $C_{\phi}$ weith the differentiation operator $D$, that is in the operator $D C_{\phi}: f \mapsto \phi' \cdot (f \circ \phi)$ acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functions.Mathematical Institute
University of Paderborn
Warburger Str. 100
33098 Paderborn
Germany
E-mail:
University of Paderborn
Warburger Str. 100
33098 Paderborn
Germany
E-mail:
Fulltext
– 0.11 Mb
Contents
- On a class of weighted composition operators on Fock space
- Invariant Characteristics of Special Compositions in Weyl Spaces WN
- Interpolating Bézier spline curves with local control
- Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
- On π-quasigroups of type T1
- Irreducible triangulations of the Möbius band
- On 2-primal Ore extensions over Noetherian Weak σ-rigid rings
- Max-Erlang and Min-Erlang power series distributions as two new families of lifetime distribution
- A semi-isometric isomorphism on a ring of matrices
- Compact Global Attractors of Non-Autonomous Gradient-Like Dynamical Systems
- One new class of cubic systems with maximum number of invariant lines omitted in the classification of J. Llibre and N. Vulpe
