Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball

• Autorzy: Yu-Xia Liang , Chang-Jin Wang , Ze-Hua Zhou
• Języki publikacji: EN

Abstrakty

EN

Let H(𝔹) denote the space of all holomorphic functions on the unit ball 𝔹⊂ ℂⁿ. Let φ be a holomorphic self-map of 𝔹 and u∈ H(𝔹). The weighted composition operator $uC_φ$ on H(𝔹) is defined by
$uC_φf(z) = u(z)f(φ(z))$.
We investigate the boundedness and compactness of $uC_φ$ induced by u and φ acting from Zygmund spaces to Bloch (or little Bloch) spaces in the unit ball.

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 32A37: Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))
• 47B33: Composition operators
• 32A38: Algebras of holomorphic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 114
• Numer: 2
• Strony: 101-114

Daty

wydano

2015

Twórcy

autor

Yu-Xia Liang

• School of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, P.R. China

autor

Chang-Jin Wang

• School of Science, Jimei University, Xiamen, Fujian 361021, P.R. China

autor

Ze-Hua Zhou

• Department of Mathematics, Tianjin University, Tianjin 300072, P.R. China
• Center for Applied Mathematics, Tianjin University, Tianjin 300072, P.R. China

Identyfikatory

DOI

10.4064/ap114-2-1