Lp mapping properties of the bergman projection on the hartogs triangle

Debraj Chakrabarti, Yunus E. Zeytuncu

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted Lpspaces when p > 4/3, where the weight is a power of the distance to the singular boundary point. For 1 < p ≤ 4/3 we show that no such weighted estimates are possible.

Original languageEnglish
Pages (from-to)1643-1653
Number of pages11
JournalProceedings of the American Mathematical Society
Volume144
Issue number4
DOIs
StatePublished - Apr 2016

Keywords

  • Bergman projection
  • Hartogs triangle
  • Lregularity

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