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http://dx.doi.org/10.4134/BKMS.b190371

FREDHOLM TOEPLITZ OPERATORS ON THE DIRICHLET SPACES OF THE POLYDISK  

Na, Kyunguk (Peace and Liberal Arts College, Mathematics Hanshin University)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.2, 2020 , pp. 509-520 More about this Journal
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. Consequently, we describe the essential spectrum of Toeplitz operators.
Keywords
Toeplitz operator; Dirichlet space; pluriharmonic Dirichlet space; Fredholm operator;
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Times Cited By KSCI : 2  (Citation Analysis)
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