Geodesic
On an integral-type operator from Privalov spaces to Bloch-type spaces
Xiangling Zhu1
1 Department of Mathematics JiaYing University 514015, Meizhou, GuangDong, China
Annales Polonici Mathematici, Tome 101 (2011) no. 2, pp. 139-147

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $H(B)$ denote the space of all holomorphic functions on the unit ball $B$ of ${\mathbb C}^n$. Let $\varphi$ be a holomorphic self-map of $B$ and $g \in H(B)$ such that $g(0)=0$. We study the integral-type operator $$ C_\varphi^g f(z)= \int_0^1 \Re f(\varphi(tz)) g(tz)\,\frac{dt}{t}, \ \quad f \in H(B). $$ The boundedness and compactness of $C_\varphi^g$ from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied
DOI : 10.4064/ap101-2-4
Keywords: denote space holomorphic functions unit ball mathbb varphi holomorphic self map study integral type operator varphi int varphi frac quad boundedness compactness varphi privalov spaces bloch type spaces little bloch type spaces studied

Xiangling Zhu 1

1 Department of Mathematics JiaYing University 514015, Meizhou, GuangDong, China 
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Xiangling Zhu. On an integral-type operator from Privalov spaces to Bloch-type spaces. Annales Polonici Mathematici, Tome 101 (2011) no. 2, pp. 139-147. doi: 10.4064/ap101-2-4

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