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

2014/06/10 by Raúl Quiroga-Barranco, Quiroga-Barranco, Raul, Armando Sánchez-Nungaray +1
Mathematics · Engineering · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Material Science and Thermodynamics

paper · pdf · doi:10.48550/arxiv.1406.3048

Abstract

On the weakly pseudo-convex domains \Ω_pⁿ we introduce\nquasi-homogeneous quasi-radial symbols. These are used to prove the existence\nof a commutative Banach algebra of Toeplitz operators on Bergman space of\n\Ω_pⁿ. We also show that group theoretic and geometric properties for\nour symbols are satisfied. The results presented here contain the geometric\ndescription of the symbols introduced by N. Vasilevski for the unit ball\n mathbbBⁿ.\n

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