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http://dx.doi.org/10.4134/BKMS.2010.47.3.527

A WEIGHTED COMPOSITION OPERATOR ON THE LOGARITHMIC BLOCH SPACE  

Ye, Shanli (Department of Mathematics Fujian Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.3, 2010 , pp. 527-540 More about this Journal
Abstract
We characterize the boundedness and compactness of the weighted composition operator on the logarithmic Bloch space $\mathcal{L}\ss=\{f{\in}H(D):sup_D(1-|z|^2)ln(\frac{2}{1-|z|})|f<+$\infty$ and the little logarithmic Bloch space ${\mathcal{L}\ss_0$. The results generalize the known corresponding results on the composition operator and the pointwise multiplier on the logarithmic Bloch space ${\mathcal{L}\ss$ and the little logarithmic Bloch space ${\mathcal{L}\ss_0$.
Keywords
logarithmic Bloch space; weighted composition operator; boundedness; compactness;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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