Bergman Projection on the Symmetrized Bidisk

Liwei Chen; Muzhi Jin; Yuan Yuan

doi:10.1007/s12220-023-01263-4

Bergman Projection on the Symmetrized Bidisk

Liwei Chen, Muzhi Jin, Yuan Yuan

Department of Mathematics

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

1 Scopus citations

Abstract

We apply the Bekollé–Bonami estimate for the (positive) Bergman projection on the weighted L^p spaces on the unit disk. As the consequences, we obtain the boundedness of the Bergman projection on the weighted Sobolev space on the symmetrized bidisk. We also improve the boundedness result of the Bergman projection on the unweighted L^p space on the symmetrized bidisk in Chen et al. (J Funct Anal 279(2):108522, 2020).

Original language	English (US)
Article number	204
Journal	Journal of Geometric Analysis
Volume	33
Issue number	7
DOIs	https://doi.org/10.1007/s12220-023-01263-4
State	Published - Jul 2023

Keywords

Bergman kernel
Bergman projection
Symmetrized bidisk

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s12220-023-01263-4

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abstract = "We apply the Bekoll{\'e}–Bonami estimate for the (positive) Bergman projection on the weighted Lp spaces on the unit disk. As the consequences, we obtain the boundedness of the Bergman projection on the weighted Sobolev space on the symmetrized bidisk. We also improve the boundedness result of the Bergman projection on the unweighted Lp space on the symmetrized bidisk in Chen et al. (J Funct Anal 279(2):108522, 2020).",

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author = "Liwei Chen and Muzhi Jin and Yuan Yuan",

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AU - Jin, Muzhi

AU - Yuan, Yuan

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AB - We apply the Bekollé–Bonami estimate for the (positive) Bergman projection on the weighted Lp spaces on the unit disk. As the consequences, we obtain the boundedness of the Bergman projection on the weighted Sobolev space on the symmetrized bidisk. We also improve the boundedness result of the Bergman projection on the unweighted Lp space on the symmetrized bidisk in Chen et al. (J Funct Anal 279(2):108522, 2020).

KW - Bergman kernel

KW - Bergman projection

KW - Symmetrized bidisk

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Bergman Projection on the Symmetrized Bidisk

Abstract

Keywords

ASJC Scopus subject areas

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