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Hankel Operators on Pseudoconvex Domains of Finite Type in ℂ2

Published online by Cambridge University Press:  20 November 2018

Frédéric Symesak
Frédéric Symesak*
Affiliation:
UPESA 6086 Groupes de Lie et géométrie Département de Mathématiques Université de Poitiers 86022 Poitiers Cedex France e-mail: symesak@mathrs.univ-poitiers.fr
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Abstract

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The aim of this paper is to study small Hankel operators $h$ on the Hardy space or on weighted Bergman spaces,where $\Omega $ is a finite type domain in ${{\mathbb{C}}^{2}}$ or a strictly pseudoconvex domain in ${{\mathbb{C}}^{n}}$. We give a sufficient condition on the symbol $f$ so that $h$ belongs to the Schatten class ${{S}_{p}}$, $1\,\le \,p\,<\,+\infty $.

Keywords

32A3747B3547B1046E22
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 3 , 01 June 1998 , pp. 658 - 672
Copyright
Copyright © Canadian Mathematical Society 1998

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