The Dolbeault complex in infinite dimensions. II
Complex Variables
2007-05-23 v1 Functional Analysis
Abstract
We prove that the equation d-bar u = f can be solved on a ball B(R) of radius R in the Banach space l^1 if f is a closed Lipschitz continuous (0,1) form on B(R). We also present examples of closed (0,1) forms f of various regularities on the spaces l^p that are not exact. In particular, in the first result above, it is not enough to assume that f is merely continuous, rather than Lipschitz continuous.
Cite
@article{arxiv.math/9803117,
title = {The Dolbeault complex in infinite dimensions. II},
author = {Laszlo Lempert},
journal= {arXiv preprint arXiv:math/9803117},
year = {2007}
}
Comments
22 pages