## Abstract

We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted L^{p}spaces 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 language | English |
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Pages (from-to) | 1643-1653 |

Number of pages | 11 |

Journal | Proceedings of the American Mathematical Society |

Volume | 144 |

Issue number | 4 |

DOIs | |

State | Published - Apr 2016 |

## Keywords

- Bergman projection
- Hartogs triangle
- Lregularity

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