On an integral-type operator from Privalov spaces to Bloch-type spaces

• Autorzy: Xiangling Zhu
• Języki publikacji: EN

Abstrakty

EN

Let H(B) denote the space of all holomorphic functions on the unit ball B of ℂⁿ. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. We study the integral-type operator
$C_φ^g f(z) = ∫_0^1 ℜf(φ(tz))g(tz) dt/t$, f ∈ H(B).
The boundedness and compactness of $C_φ^g$ from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied

Kategorie tematyczne

• 30D45: Bloch functions, normal functions, normal families
• 47B38: Operators on function spaces (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 101
• Numer: 2
• Strony: 139-147

Daty

wydano

2011

Twórcy

autor

Xiangling Zhu

• Department of Mathematics, JiaYing University, 514015, Meizhou, GuangDong, China

Identyfikatory

DOI

10.4064/ap101-2-4