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Hankel measures on Hardy space

Published online by Cambridge University Press:  17 April 2009

Jie Xiao
Affiliation:
School of Mathematical Sciences, Peking UniversityBejing 100871, China e-mail: jxiao@sxx0.math.pku.edu.cn Institute of Analysis, TU-Braunschweig, D-38106 Braunschweig, Germany e-mail: xiao@badbit.math2.nat.tu-bs.de
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Abstract

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We characterise the complex measures μ on the open unit disk D such that for all f in the Hardy space H2. The characterisation involves Carleson measures, the duality between H1 and BMOA, and Hankel operators.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2000

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