Geodesic
On the powers of quasihomogeneous Toeplitz operators
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 4, pp. 1049-1061
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We present sufficient conditions for the existence of $p$th powers of a quasihomogeneous Toeplitz operator $T_{{\rm e}^{{\rm i} s\theta }\psi }$, where $\psi $ is a radial polynomial function and $p$, $s$ are natural numbers. A large class of examples is provided to illustrate our results. To our best knowledge those examples are not covered by the current literature. The main tools in the proof of our results are the Mellin transform and some classical theorems of complex analysis.
We present sufficient conditions for the existence of $p$th powers of a quasihomogeneous Toeplitz operator $T_{{\rm e}^{{\rm i} s\theta }\psi }$, where $\psi $ is a radial polynomial function and $p$, $s$ are natural numbers. A large class of examples is provided to illustrate our results. To our best knowledge those examples are not covered by the current literature. The main tools in the proof of our results are the Mellin transform and some classical theorems of complex analysis.
DOI : 10.21136/CMJ.2021.0193-20
Classification : 30-00, 30H20, 44A99, 47B35
Keywords: quasihomogeneous Toeplitz operator; Mellin transform 
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Bouhali, Aissa; Bendaoud, Zohra; Louhichi, Issam. On the powers of quasihomogeneous Toeplitz operators. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 4, pp. 1049-1061. doi: 10.21136/CMJ.2021.0193-20

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