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Cui, Puyu; Lu, Yufeng

Hyponormal Toeplitz operators on the Dirichlet spaces. (English) Zbl 1294.47040

Abstr. Appl. Anal. 2013, Article ID 186326, 5 p. (2013).
Summary: We completely characterize the hyponormality of bounded Toeplitz operators with Sobolev symbols on the Dirichlet space and the harmonic Dirichlet space.

Cited in 1 Document

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47B20 Subnormal operators, hyponormal operators, etc.
31C25 Dirichlet forms
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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References:

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