English

The Bergman kernel for the Vekua equation

Analysis of PDEs 2018-08-09 v1

Abstract

The paper extends some well-known results for analytic functions onto solutions of the Vekua equation zW=aW+bW\partial _{\overline{z}}W=aW+b\overline{W} regarding the existence and construction of the Bergman kernel and of the corresponding Bergman projection operator.

Keywords

Cite

@article{arxiv.1808.02566,
  title  = {The Bergman kernel for the Vekua equation},
  author = {Hugo M. Campos and Vladislav V. Kravchenko},
  journal= {arXiv preprint arXiv:1808.02566},
  year   = {2018}
}
R2 v1 2026-06-23T03:27:22.048Z