Commun. Korean Math. Soc. 2018; 33(3): 787-798
Printed July 31, 2018
https://doi.org/10.4134/CKMS.c170144
Copyright © The Korean Mathematical Society.
Takahiko Nakazi
Hokkaido University
For $1\leq p\leq \infty $, let $H^p$ be the usual Hardy space on the unit circle. When $\alpha $ and $\beta $ are bounded functions, a singular integral operator $S_{\alpha ,\beta }$ is defined as the following: $S_{\alpha ,\beta }(f+\bar {g})=\alpha f+\beta \bar {g}~(f\in H^p, g\in zH^p)$. When $p=2$, we study the hyponormality of $S_{\alpha ,\beta }$ when $\alpha $ and $\beta $ are some special functions.
Keywords: singular integral operator, Toeplitz operator, Hardy space, hyponormal operator
MSC numbers: 45E10, 47B35, 47B20
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