Abstract

AbstractWe characterize the boundedness and compactness of weighted composition operators between weighted Banach spaces of analytic functionsand. we estimate the essential norm of a weighted composition operator and compute it for those Banach spaceswhich are isomorphic toc0. We also show that, when such an operator is not compact, it is an isomorphism on a subspace isomorphic toc0orl∞. Finally, we apply these results to study composition operators between Bloch type spaces and little Bloch type spaces.

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