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Brown-Halmos type theorems of weighted Toeplitz operators |
Published:1998-06-01
Printed: Jun 1998
Printed: Jun 1998
- Takahiko Nakazi
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. |
| MSC Classifications: | 47B35 - Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15] |