Lp mapping properties of the bergman projection on the hartogs triangle

Debraj Chakrabarti; Yunus E. Zeytuncu

doi:10.1090/proc/12820

L^p mapping properties of the bergman projection on the hartogs triangle

Debraj Chakrabarti, Yunus E. Zeytuncu

Mathematics

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45 Scopus citations

Abstract

We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted L^pspaces 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
Pages (from-to)	1643-1653
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	4
DOIs	https://doi.org/10.1090/proc/12820
State	Published - Apr 2016

Keywords

Bergman projection
Hartogs triangle
Lregularity

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10.1090/proc/12820

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title = "Lp mapping properties of the bergman projection on the hartogs triangle",

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.",

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AB - 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.

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KW - Lregularity

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L^p mapping properties of the bergman projection on the hartogs triangle

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Keywords

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