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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.