Open Access
2009 Volterra composition operators on logarithmic Bloch spaces
Xiangling Zhu
Banach J. Math. Anal. 3(1): 122-130 (2009). DOI: 10.15352/bjma/1240336429
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.

Copyright © 2009 Tusi Mathematical Research Group
Xiangling Zhu "Volterra composition operators on logarithmic Bloch spaces," Banach Journal of Mathematical Analysis 3(1), 122-130, (2009). https://doi.org/10.15352/bjma/1240336429
Published: 2009
Vol.3 • No. 1 • 2009
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