$L^p$ Mapping Properties of the Bergman Projection on the Hartogs Triangle

Debraj Chakrabarti; Yunus E. Zeytuncu

$L^p$ Mapping Properties of the Bergman Projection on the Hartogs Triangle

Complex Variables 2015-05-07 v2

Authors: Debraj Chakrabarti , Yunus E. Zeytuncu

Abstract

We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted $L^p$ spaces when $p>\frac{4}{3}$ , where the weight is a power of the distance to the singular boundary point. For $1<p\leq\frac{4}{3}$ we show that no such weighted estimates are possible.

Keywords

Bergman projection Hartogs triangle $L^p$ mapping properties weighted $L^p$ spaces singular boundary point optimal estimates

Cite

@article{arxiv.1410.1105,
  title  = {$L^p$ Mapping Properties of the Bergman Projection on the Hartogs Triangle},
  author = {Debraj Chakrabarti and Yunus E. Zeytuncu},
  journal= {arXiv preprint arXiv:1410.1105},
  year   = {2015}
}

Comments

Small typos corrected. To appear in the Proceedings of the AMS

Related papers

View all related →