Quasi-coherence of Hardy spaces in several complex variables

Authors
Wolff, R
Citation
R. Wolff, Quasi-coherence of Hardy spaces in several complex variables, INTEG EQ OP, 38(1), 2000, pp. 120-127
Citations number
6
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
38
Issue
1
Year of publication
2000
Pages
120 - 127
Database
ISI
SICI code
0378-620X(200009)38:1<120:QOHSIS>2.0.ZU;2-O
Abstract
In this paper, we prove that the Hardy space H-P(Omega), 1 less than or equ al to p < infinity, over a strictly pseudoconvex domain in C-n with smooth boundary is quasi-coherent. More precisely, we show that Toeplitz tuples T- phi with suitable symbols phi on H-p(Omega) have property (beta)epsilon. Th is proof is based on a well known exactness result for the tangential Cauch y-Riemann complex.