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A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACES
We obtain a new criterion for the boundedness and compactness of the weighted composition operators <TEX>${\psi}C_{\varphi}$</TEX> from <TEX>${\ss}^{{\alpha}}$</TEX>(0 < <TEX>${\alpha}$</TEX> < 1) to <TEX>${\ss}^{{\beta}}$</TEX> in terms of the sequence <TEX>$\{{\psi}{\varphi}^n\}$</TEX>. An estimate for the essential norm of <TEX>${\psi}C_{\varphi}$</TEX> is also given.