Toeplitz and Hankel type operators on the upper half-plane
type: Item
instance of: scholarly article
title: Toeplitz and Hankel type operators on the upper half-plane
zbMATH Open document ID: 0780.47021
DOI: 10.1007/BF01200698
author: Qingtang Jiang
author: Lizhong Peng
published in: Integral Equations and Operator Theory
publication date: 1993-06-29T00:00:00Z
review text: An orthogonal decomposition of admissible wavelets is constructed via the Laguerre polynomials, it turns to give a complete decomposition of the space of square integrable functions on the upper half-plane with the measure \(y^ 2 dx dy\). Three types of Toeplitz and Hankel operators are defined, they are the generalization of classical Toeplitz and Hankel operators respectively. Their boundedness, compactness and Schatten-von Neumann properties are studied.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 222147
zbMATH Keywords: orthogonal decomposition of admissible wavelets
zbMATH Keywords: Laguerre polynomials
zbMATH Keywords: complete decomposition of the space of square integrable functions on the upper half-plane
zbMATH Keywords: Toeplitz and Hankel operators
zbMATH Keywords: boundedness
zbMATH Keywords: compactness
zbMATH Keywords: Schatten-von Neumann properties
reviewed by: Vladimir Rabinovich
MaRDI profile type: Publication
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cites work: Paracommutators of Schatten- von Neumann class $S_p$, $0 &lt; p &lt; 1$.
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full work available at URL: https://doi.org/10.1007/bf01200698
OpenAlex ID: W1998584804
description: scientific article; zbMATH DE number 222147