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- Title
Failure of hypoellipticity for the canonical solution to <img src="/fulltext-image.asp?format=htmlnonpaginated&src=023Q6857446655H3_html\209_2007_298_Article_IEq1.gif" border="0" alt="$${\bar\partial_b}$$" /> on some nilpotent Lie groups
- Authors
Manuel Flores
- Abstract
Abstract In this paper we show that Kohn’s solution to the $${\bar\partial_b}$$ problem fails to be hypoelliptic on some class of high codimension submanifolds of $${\mathbb{C}^n}$$. The examples presented here carry a Lie group structure which generalize the one-dimensional Heisenberg group.
- Subjects
NILPOTENT Lie groups; SUBMANIFOLDS; LIE groups; MANIFOLDS (Mathematics); HYPOELLIPTIC operators; MATHEMATICAL analysis
- Publication
Mathematische Zeitschrift, 2008, Vol 260, Issue 3, p699
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-007-0298-x