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From Hankel Operators to Carleson Measures in a Quaternionic Variable

Part of: Linear function spaces and their duals Special classes of linear operators Generalized function theory

Published online by Cambridge University Press:  17 July 2017

Nicola Arcozzi  and
Giulia Sarfatti
Nicola Arcozzi
Affiliation:
Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy (nicola.arcozzi@unibo.it; giulia.sarfatti@unibo.it)
Giulia Sarfatti
Affiliation:
Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy (nicola.arcozzi@unibo.it; giulia.sarfatti@unibo.it)
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Abstract

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We introduce and study Hankel operators defined on the Hardy space of regular functions of a quaternionic variable. Theorems analogous to those of Nehari and Fefferman are proved.

Keywords

Hardy space on the quaternionic ballfunctions of a quaternionic variableHankel operators

MSC classification

Secondary: 30G35: Functions of hypercomplex variables and generalized variables 46E22: Hilbert spaces with reproducing kernels (= 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 3 , August 2017 , pp. 565 - 585
Copyright
Copyright © Edinburgh Mathematical Society 2017 

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