Hankel Operators on Pseudoconvex Domains of Finite Type in C2

Symesak, Frédéric

Canadian journal of mathematics, Tome 50 (1998) no. 3, pp. 658-672

Résumé

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 $ .

Détail

DOI : 10.4153/CJM-1998-037-2

Mots-clés : 32A37, 47B35, 47B10, 46E22

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