English

On H\"ormander's solution of the dbar-equation

Analysis of PDEs 2015-09-23 v3 Complex Variables Functional Analysis

Abstract

We explain how H\"ormander's classical solution of the dbar-equation in the plane with a weight which permits growth near infinity carries over to the rather opposite situation when we ask for decay near infinity. Here, however, a natural condition on the datum needs to be imposed. The condition is not only natural but also necessary to have the result at least in the Fock weight case.

Cite

@article{arxiv.1311.2020,
  title  = {On H\"ormander's solution of the dbar-equation},
  author = {Haakan Hedenmalm},
  journal= {arXiv preprint arXiv:1311.2020},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T02:03:53.735Z