Linear combinations of composition operators on weighted Dirichlet spaces
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In this paper, linear combinations of composition operators acting on weighted Dirichlet spaces are studied. By using the first derivative of the kernel function, we obtain a lower estimate for the essential norms of these operators acting on the Dirichlet space D and S 2. For general weighted Dirichlet space, by using complex interpolation methods, we characterize the compactness of these operators induced by linear fractional self-maps of the disk.
Keywordslinear combinations of composition operator compact operator weighted Dirichlet spaces complex interpolation
CLC numberO 177.92
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