Toeplitz Operators Acting on True-Poly-Bergman Type Spaces of the Two-Dimensional Siegel Domain: Nilpotent Symbols

We describe certain C∗-algebras generated by Toeplitz operators with nilpotent symbols and acting on a poly-Bergman type space of the Siegel domain D2⊂ℂ2. Bounded measurable functions of the form cIm ζ1,Im ζ2−ζ12 are called nilpotent symbols. In this work, we consider symbols of the form aIm ζ1bIm ζ...

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Bibliographic Details
Main Authors: Yessica Hernández-Eliseo, Josué Ramírez-Ortega, Francisco G. Hernández-Zamora
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/8855599