Wuhan University Journal of Natural Sciences

, Volume 20, Issue 5, pp 369–374 | Cite as

Linear combinations of composition operators on weighted Dirichlet spaces

Mathematics

Abstract

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 S2. 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.

Keywords

linear combinations of composition operator compact operator weighted Dirichlet spaces complex interpolation 

CLC number

O 177.92 

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Copyright information

© Wuhan University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.School of Mathematics and StatisticWuhan UniversityWuhan, HubeiChina

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