Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space

• Autorzy: Elke Wolf
• Języki publikacji: EN

Abstrakty

EN

Let ϕ: 𝔻 → 𝔻 and ψ: 𝔻 → ℂ be analytic maps. They induce a weighted composition operator $ψC_{ϕ}$ acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. Under some assumptions on the weights we give a necessary as well as a sufficient condition for such an operator to be bounded resp. compact.

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 47B33: Composition operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 96
• Numer: 1
• Strony: 43-50

Daty

wydano

2009

Twórcy

autor

Elke Wolf

• Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany

Identyfikatory

DOI

10.4064/ap96-1-3