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Brown-Halmos type theorems of weighted Toeplitz operators

  Published:1998-06-01
 Printed: Jun 1998
  • Takahiko Nakazi
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Abstract

The spectra of the Toeplitz operators on the weighted Hardy space $H^2(Wd\th/2\pi)$ and the Hardy space $H^p(d\th/2\pi)$, and the singular integral operators on the Lebesgue space $L^2(d\th/2\pi)$ are studied. For example, the theorems of Brown-Halmos type and Hartman-Wintner type are studied.
Keywords: Toeplitz operator, singular integral, operator, weighted Hardy space, spectrum. Toeplitz operator, singular integral, operator, weighted Hardy space, spectrum.
MSC Classifications: 47B35 show english descriptions Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15] 47B35 - Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
 

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