Compact sums of Toeplitz products on weighted Dirichlet space of the unit ball
Bull. Korean Math. Soc. 2019 Vol. 56, No. 2, 319-331
https://doi.org/10.4134/BKMS.b180020
Published online 2019 Mar 01
Yinyin Hu, 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 : Primary 47B35
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