Abstract
Let $\varphi$ be a holomorphic self-map and $g$ a fixed holomorphic function on the unit ball $B$. The boundedness and compactness of the Volterra composition operator $$T_{g,\varphi} f(z)= \int_0^1 f(\varphi(tz)) \Re g(tz)\frac{dt}{t}$$ on the logarithmic Bloch space and little logarithmic Bloch space are studied in this paper.
Citation
Xiangling Zhu. "Volterra composition operators on logarithmic Bloch spaces." Banach J. Math. Anal. 3 (1) 122 - 130, 2009. https://doi.org/10.15352/bjma/1240336429
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