𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Isometric composition operators on BMOA

✍ Scribed by Jussi Laitila


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
97 KB
Volume
283
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

We characterize and provide examples of the analytic self‐maps of the unit disc, which induce isometric com‐position operators on the space BMOA equipped with a Möbius invariant H^2^ norm (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


📜 SIMILAR VOLUMES


Isometric composition operators on the w
✍ Nizar Jaoua 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 96 KB 👁 1 views

## Abstract We investigate the composition operators on the weighted Hardy spaces __H__^2^(__β__). For any bounded weight sequence __β__, we give necessary conditions for those operators to be isometric. The sufficiency of those conditions is well‐known for the classical space __H__^2^. In the case

Weighted Composition Operators on Hardy
✍ Manuel D Contreras; Alfredo G Hernández-Dı́az 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 94 KB

Let , be analytic functions defined on ‫,ބ‬ such that ‫ބ‬ : ‫.ބ‬ The operator Ž . given by f ¬ f ( is called a weighted composition operator. In this paper we deal with the boundedness, compactness, weak compactness, and complete continu-Ž . ity of weighted composition operators on Hardy spaces H 1

Bounded Composition Operators on Weighte
✍ Matthew M. Jones 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 131 KB

Providence) concerning bounded composition operators on weighted Bergman spaces of the unit disk. The main result is the following: if G i = e -h i for i = 1 2 are weight functions in a certain range for which h 1 r /h 2 r → ∞ as r → 1 then there is a self-map of the unit disk such that the induced

Composition operators on spaces of real
✍ Paweł Domański; Michael Langenbruch 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 259 KB 👁 1 views

Let Ω1, Ω2 be open subsets of R d 1 and R d 2 , respectively, and let A(Ω1) denote the space of real analytic functions on Ω1. We prove a Glaeser type theorem by characterizing when a composition operator Cϕ : Using this result we characterize when A(Ω1) can be embedded topologically into A(Ω2) as