Open Access
Spring and Summer 2017 Sum of Toeplitz products on the Hardy space over the polydisk
Tao Yu
Illinois J. Math. 61(1-2): 225-241 (Spring and Summer 2017). DOI: 10.1215/ijm/1520046217

Abstract

In this paper, we obtain several sufficient and necessary conditions for a finite sum of Toeplitz products with form $\sum_{m=1}^{M}T_{f_{m}}T_{g_{m}}$ on the Hardy space over the polydisk to be zero. The methods used in this note are Berezin transform and the essential fiber dimension.

Citation

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Tao Yu. "Sum of Toeplitz products on the Hardy space over the polydisk." Illinois J. Math. 61 (1-2) 225 - 241, Spring and Summer 2017. https://doi.org/10.1215/ijm/1520046217

Information

Received: 26 May 2017; Revised: 7 December 2017; Published: Spring and Summer 2017
First available in Project Euclid: 3 March 2018

zbMATH: 06864467
MathSciNet: MR3770844
Digital Object Identifier: 10.1215/ijm/1520046217

Subjects:
Primary: 47B35
Secondary: 32A35‎

Rights: Copyright © 2017 University of Illinois at Urbana-Champaign

Vol.61 • No. 1-2 • Spring and Summer 2017
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