Abstract
We consider the space, CRp(M), consisting of CR functions which also lie in Lp(M) on a quadric submanifold M of Cn of codimension at least one. For 1 ≤ p ≤ ∞, we prove that each element in CRp(M) extends uniquely to an Hp function on the interior of the convex hull of M. As part of the proof, we establish a semi-global version of the CR approximation theorem of Baouendi and Treves for submanifolds which are graphs and whose graphing functions have polynomial growth.
Original language | English (US) |
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Pages (from-to) | 1-18 |
Number of pages | 18 |
Journal | Pacific Journal of Mathematics |
Volume | 201 |
Issue number | 1 |
DOIs | |
State | Published - Nov 2001 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics