WEAK-TYPE REGULARITY OF THE BERGMAN PROJECTION ON RATIONAL HARTOGS TRIANGLES

被引：5

作者：

Christopherson, Adam B. ^{[1
]}

Koenig, Kenneth D. ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年

关键词：

Bergman kernel; Bergman projection; weak-type estimate; Hartogs triangle; L-P; DOMAINS; SZEGO;

D O I：

10.1090/proc/16215

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the rational power-generalized Hartogs triangles in C2, we give a complete characterization of the weak-type regularity of the Bergman projection at the upper and lower endpoints of Lp boundedness. Our result ex-tends work of Huo-Wick for the classical Hartogs triangle by showing that the Bergman projection satisfies a weak-type estimate only at the upper endpoint of Lp boundedness.

引用

页码：1643 / 1653

页数：11

共 16 条

[1] Lp MAPPING PROPERTIES OF THE BERGMAN PROJECTION ON THE HARTOGS TRIANGLE
Chakrabarti, Debraj
Zeytuncu, Yunus E.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (04) : 1643 - 1653
[2] Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel
Charpentier, P
Dupain, Y
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2006, 85 (01): : 71 - 118
[3] The Lp boundedness of the Bergman projection for a class of bounded. Hartogs domains
Chen, Liwei
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (01) : 598 - 610
[4] Edholm LD, 2017, J GEOM ANAL, V27, P2658, DOI 10.1007/s12220-017-9777-4
[5] THE BERGMAN PROJECTION ON FAT HARTOGS TRIANGLES: Lp BOUNDEDNESS
Edholm, L. D.
Mcneal, J. D.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (05) : 2185 - 2196
[6] Weak-type estimates for the Bergman projection on the polydisc and the Hartogs triangle
Huo, Zhenghui
Wick, Brett D.
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020, 52 (05) : 891 - 906
[7] Harmonic Bergman Theory on Punctured Domains
Koenig, Kenneth D.
Wang, Yuda
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (07) : 7410 - 7435
[8] Szego and Bergman projections on non-smooth planar domains
Lanzani, L
Stein, EM
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2004, 14 (01) : 63 - 86
[9] THE BERGMAN PROJECTION IN Lp FOR DOMAINS WITH MINIMAL SMOOTHNESS
Lanzani, Loredana
Stein, Elias M.
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 2012, 56 (01) : 127 - 154
[10] MCNEAL JD, 1994, J GEOM ANAL, V4, P91

← 1 2 →