Open Access
Summer 2016 Obstructions for compactness of Hankel operators: Compactness multipliers
Mehmet Çelik, Yunus E. Zeytuncu
Illinois J. Math. 60(2): 563-585 (Summer 2016). DOI: 10.1215/ijm/1499760023

Abstract

We establish a connection between compactness of Hankel operators and geometry of the underlying domain through compactness multipliers for the $\overline{\partial}$-Neumann operator. In particular, we prove that any compactness multiplier induces a compact Hankel operator. We also generalize the notion of compactness multipliers to vector fields and matrices and then we use this generalization to generate compact Hankel operators.

Citation

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Mehmet Çelik. Yunus E. Zeytuncu. "Obstructions for compactness of Hankel operators: Compactness multipliers." Illinois J. Math. 60 (2) 563 - 585, Summer 2016. https://doi.org/10.1215/ijm/1499760023

Information

Received: 29 July 2016; Revised: 19 November 2016; Published: Summer 2016
First available in Project Euclid: 11 July 2017

zbMATH: 1379.32033
MathSciNet: MR3680549
Digital Object Identifier: 10.1215/ijm/1499760023

Subjects:
Primary: 32W05
Secondary: 46B35

Rights: Copyright © 2016 University of Illinois at Urbana-Champaign

Vol.60 • No. 2 • Summer 2016
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