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arXiv · 1406.3048

Toeplitz Operators with Quasi-Homogeneuos Quasi-Radial Symbols on some Weakly Pseudoconvex Domains

Raul Quiroga-Barranco·Armando Sanchez-Nungaray
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Abstract

On the weakly pseudo-convex domains $Ω_p^n$ we introduce quasi-homogeneous quasi-radial symbols. These are used to prove the existence of a commutative Banach algebra of Toeplitz operators on Bergman space of $Ω_p^n$. We also show that group theoretic and geometric properties for our symbols are satisfied. The results presented here contain the geometric description of the symbols introduced by N. Vasilevski for the unit ball $\mathbb{B}^n$.

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Raul Quiroga-Barranco, Armando Sanchez-Nungaray. 2014-06-10. Toeplitz Operators with Quasi-Homogeneuos Quasi-Radial Symbols on some Weakly Pseudoconvex Domains. https://arxiv.org/abs/1406.3048

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