Weighted composition operator between the little alpha-Bloch spaces and the logarithmic Bloch

摘要

We characterize the boundedness and compactness of the weighted composition operator uC(phi) between the logarithmic Bloch space beta(L) and the little alpha-Bloch spaces beta(0)(alpha) on the unit disk. Some necessary and sufficient conditions are given for which uC(phi) is a bounded or compact operator between beta(L) and beta(0)(alpha).