Compact Sums of Toeplitz Products on Weighted Dirichlet space of the unit ball
Bull. Korean Math. Soc.
Published online 2019 Mar 13
Yinyin Hu, and Yufeng Lu
Dalian Maritime university, Dalian University of Technology
Abstract : On the weighted Dirichlet space, by the Sobolev's embedding theorem, we characterize the compactness for operators which are finite sums of products of several Toeplitz operators. Moreover, the essential spectrum of Toeplitz operator is characterized.
Keywords : Toeplitz operator, compactness, weighted Dirichlet space
MSC numbers : 47B35
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