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Weak-type regularity for the Bergman projection over N-dimensional classical Hartogs triangles.

Authors :
Li, Yi
Wang, Mengjiao
Source :
Journal of Inequalities & Applications. 3/21/2024, Vol. 2024 Issue 1, p1-18. 18p.
Publication Year :
2024

Abstract

In this paper, we study the weak-type regularity of the Bergman projection on n-dimensional classical Hartogs triangles. We extend the results of Huo–Wick on the 2-dimensional classical Hartogs triangle to the n-dimensional classical Hartogs triangle and show that the Bergman projection is of weak type at the upper endpoint of L q -boundedness but not of weak type at the lower endpoint of L q -boundedness. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*TRIANGLES
*BERGMAN spaces

Details

Language :
English
ISSN :
10255834
Volume :
2024
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
176223778
Full Text :
https://doi.org/10.1186/s13660-024-03119-z