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

Research output: Contribution to journal › Article › peer-review

40 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

Access to Document

10.1090/proc/12820

Cite this

@article{40f3c9df035c49a0bfeb07f82e8edb77,

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.",

keywords = "Bergman projection, Hartogs triangle, Lregularity",

author = "Debraj Chakrabarti and Zeytuncu, {Yunus E.}",

note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",

year = "2016",

month = apr,

doi = "10.1090/proc/12820",

language = "English",

volume = "144",

pages = "1643--1653",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY",

number = "4",

}

TY - JOUR

T1 - Lp mapping properties of the bergman projection on the hartogs triangle

AU - Chakrabarti, Debraj

AU - Zeytuncu, Yunus E.

PY - 2016/4

Y1 - 2016/4

N2 - 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.

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.

KW - Bergman projection

KW - Hartogs triangle

KW - Lregularity

UR - http://www.scopus.com/inward/record.url?scp=84955517906&partnerID=8YFLogxK

U2 - 10.1090/proc/12820

DO - 10.1090/proc/12820

M3 - Article

AN - SCOPUS:84955517906

SN - 0002-9939

VL - 144

SP - 1643

EP - 1653

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this