Fredholm Toeplitz operators on the Dirichlet spaces of the polydisk
Bull. Korean Math. Soc.
Published online December 4, 2019
Kyunguk Na
Hanshin University
Abstract : We study the Toeplitz operators on the holomorphic and pluriharmonic Dirichlet spaces of the polydisk in terms of when Toeplitz operator is Fredholm operator there. Consequnetly, we describe the essential spectrum of Toeplitz operators.
Keywords : Toeplitz operator, Dirichlet space, pluriharmonic Dirichlet space, Fredholm operator
MSC numbers : 47B35
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