English

Solution of Extremal Problems in Bergman Spaces Using the Bergman Projection

Complex Variables 2014-10-13 v1

Abstract

In this paper we discuss the explicit solution of certain extremal problems in Bergman spaces. In order to do this, we develop methods to calculate the Bergman projections of various functions. As a special case, we deal with canonical divisors for certain values of pp.

Keywords

Cite

@article{arxiv.1311.5620,
  title  = {Solution of Extremal Problems in Bergman Spaces Using the Bergman Projection},
  author = {Timothy Ferguson},
  journal= {arXiv preprint arXiv:1311.5620},
  year   = {2014}
}

Comments

25 pages, to appear in Computational Methods and Function Theory

R2 v1 2026-06-22T02:12:36.610Z