77
Views
0
CrossRef citations to date
0
Altmetric
Articles

On the Poincaré-Lelong equation in ℂn

&
Pages 1426-1446 | Received 22 Apr 2020, Accepted 07 Jan 2021, Published online: 14 Feb 2021

References

  • Lelong P. Fonctions entires (n variables) et fonctions plurisousharmoniques d'ordre fini dans Cn. J Anal Math. 1964;12:365–407. French.
  • Mok N, Siu YT, Yau ST. The Poincaré-Lelong equation on complete Kähler manifolds. Compos Math. 1981;44(1–3):183–218.
  • Chen BY. Hardy-Sobolev type inequalities and their applications. arXiv: 1712.02044.
  • Dai SY, Liu Y, Pan YF. A right inverse of differential operator Δ+a in weighted Hilbert space L2(Rn,e−|x|2). arXiv: 1909.12477v1.
  • Dai SY, Pan YF. A right inverse of Cauchy-Riemann operator ∂¯k+a in the weighted Hilbert space L2(C,e−|z|2). arXiv: 1909.10872v1, to appear in Ann Fac Sci Toulouse.
  • Dai SY, Pan YF. A right inverse of differential operator dk/dxk+a in weighted Hilbert space L2(R,e−x2). J Math Anal Appl. 2020;486:123890.
  • Berndtsson B. L2-estimates for the d-equation and Witten's proof of the Morse inequalities, (English, French summary). Ann Fac Sci Toulouse Math. 2007;6(4):773–797.
  • Fornaess JE. Lecture notes: Several complex variables. arXiv: 1507.00562v1.
  • Hörmander L. An introduction to complex analysis in several variables. 3rd ed., Vol. 7. North Holland; 1990.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.