Semiglobal results for $\bar\partial$ on a complex space with arbitrary singularities

John Erik Fornaess; Nils Ovrelid; Sophia Vassiliadou

Semiglobal results for $\bar\partial$ on a complex space with arbitrary singularities

Complex Variables 2007-05-23 v1

Authors: John Erik Fornaess , Nils Ovrelid , Sophia Vassiliadou

Abstract

We obtain some $L^2$ results for the Cauchy-Riemann operator on forms that vanish to high order near the singular set of a complex space.

Keywords

operator semigroups operator theory and elliptic operators pseudodifferential operators

Cite

@article{arxiv.math/0401171,
  title  = {Semiglobal results for $\bar\partial$ on a complex space with arbitrary singularities},
  author = {John Erik Fornaess and Nils Ovrelid and Sophia Vassiliadou},
  journal= {arXiv preprint arXiv:math/0401171},
  year   = {2007}
}