Skip to main content
SpringerLink
Log in

The ¯∂-equation on a positive current

  • Published:
Inventiones mathematicae Aims and scope

Abstract.

We study the induced ¯∂-equation on a positive current in a complex manifold. We extend the L 2-estimates for the ¯∂-equation to harmonic currents of bidimension (1,1), satisfying a Frobenius type condition. We also show that the L 2-estimates are satisfied for the ¯∂-equation on a positive closed current of bidegree (1,1) on a pseudoconvex domain in ℂn.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, CTH, S-412 96 Göteborg, Sweden (e-mail: bob@math.chalmers.se), , , , , , SE

    Bo Berndtsson

  2. Mathématiques, Bât 425, UMR 8628 Université Paris-Sud, 91405 Orsay Cedex, France (e-mail: Nessim.Sibony@math.u-psud.fr), , , , , , FR

    Nessim Sibony

Authors
  1. Bo Berndtsson
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nessim Sibony
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Oblatum 7-XII-2000 & 28-VI-2001¶Published online: 24 September 2001

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berndtsson, B., Sibony, N. The ¯∂-equation on a positive current. Invent. math. 147, 371–428 (2002). https://doi.org/10.1007/s002220100178

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002220100178

Keywords

Search

Navigation