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Summer 2015 Algebraic properties of small Hankel operators on the harmonic Bergman space
Yong Chen, Wei He, Yunzhong Hu
Illinois J. Math. 59(2): 295-317 (Summer 2015). DOI: 10.1215/ijm/1462450702

Abstract

This paper completely characterizes the commuting problem of two small Hankel operators acting on the harmonic Bergman space with the symbols one being bounded and another being quasihomogeneous, or both being harmonic. The characterizations for semi-commuting problem and the product of two small Hankel operators being another small Hankel operator for certain class of symbols are also obtained.

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Yong Chen. Wei He. Yunzhong Hu. "Algebraic properties of small Hankel operators on the harmonic Bergman space." Illinois J. Math. 59 (2) 295 - 317, Summer 2015. https://doi.org/10.1215/ijm/1462450702

Information

Received: 7 June 2014; Revised: 29 January 2016; Published: Summer 2015
First available in Project Euclid: 5 May 2016

zbMATH: 1342.47037
MathSciNet: MR3499513
Digital Object Identifier: 10.1215/ijm/1462450702

Subjects:
Primary: 47B35
Secondary: 31A05

Rights: Copyright © 2015 University of Illinois at Urbana-Champaign

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Vol.59 • No. 2 • Summer 2015
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