On the powers of quasihomogeneous Toeplitz operators
Aissa Bouhali, Zohra Bendaoud, Issam Louhichi (2021)
Czechoslovak Mathematical Journal
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We present sufficient conditions for the existence of th powers of a quasihomogeneous Toeplitz operator , where is a radial polynomial function and , 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.