Weak-Type Regularity of the Bergman Projection on n-Dimensional Hartogs Triangles

In this paper, we research the weak-type regularity of the Bergman projection for n -dimensional generalized Hartogs triangles. The weak-type regularity of the Bergman projection of 2-dimensional Hartogs triangles and the rational power-generalized 2-dimensional Hartogs triangles has been studied by...

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Bibliographic Details
Published in:Complex analysis and operator theory 2024, Vol.18 (1), Article 15
Main Authors: Jing, Yuanyuan, Li, Yi, Qin, Chuan, Wang, Mengjiao
Format: Article
Language:English
Subjects:
Analysis
Higher Dimensional Geometric Function Theory and Hypercomplex Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Regularity
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Summary:In this paper, we research the weak-type regularity of the Bergman projection for n -dimensional generalized Hartogs triangles. The weak-type regularity of the Bergman projection of 2-dimensional Hartogs triangles and the rational power-generalized 2-dimensional Hartogs triangles has been studied by Huo-Wick and Christopherson-Koenig, respectively. Motivated by their works, we show that, for generalized Hartogs triangles in C n , the Bergman projection is of weak-type at the upper endpoint of L p boundedness but not of weak-type at the lower endpoint of L p boundedness.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-023-01425-w