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http://dx.doi.org/10.4134/JKMS.2009.46.6.1219

GENERALIZED COMPOSITION OPERATORS FROM GENERALIZED WEIGHTED BERGMAN SPACES TO BLOCH TYPE SPACES  

Zhu, Xiangling (DEPARTMENT OF MATHEMATICS YIAYING UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.6, 2009 , pp. 1219-1232 More about this Journal
Abstract
Let H(B) denote the space of all holomorphic functions on the unit ball B of $\mathbb{C}^n$. Let $\varphi$ = (${\varphi}_1,{\ldots}{\varphi}_n$) be a holomorphic self-map of B and $g{\in}2$(B) with g(0) = 0. In this paper we study the boundedness and compactness of the generalized composition operator $C_{\varphi}^gf(z)=\int_{0}^{1}{\mathfrak{R}}f(\varphi(tz))g(tz){\frac{dt}{t}}$ from generalized weighted Bergman spaces into Bloch type spaces.
Keywords
generalized composition operator; generalized weighted Bergman space; Bloch type space;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 9  (Related Records In Web of Science)
Times Cited By SCOPUS : 9
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