On the powers of quasihomogeneous Toeplitz operators

Autor: Aissa Bouhali, Issam Louhichi, Zohra Bendaoud
Rok vydání: 2021
Předmět:
Zdroj: Czechoslovak Mathematical Journal. 71:1049-1061
DOI: 10.21136/cmj.2021.0193-20
Popis: We present sufficient conditions for the existence of pth powers of a quasiho-mogeneous Toeplitz operator Teisθφ, where φ 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.
Databáze: OpenAIRE