Abstract
We characterize the boundedness and compactness of the weighted composition operator <TEX>$uC_{\psi}$</TEX> from the general function space F(p, q, s) into the logarithmic Bloch space <TEX>${\beta}_L$</TEX> on the unit disk. Some necessary and sufficient conditions are given for which <TEX>$uC_{\psi}$</TEX> is a bounded or a compact operator from F(p,q,s), <TEX>$F_0$</TEX>(p,q,s) into <TEX>${\beta}_L$</TEX>, <TEX>${\beta}_L^0$</TEX> respectively.
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