Lp-NORM ESTIMATE FOR THE BERGMAN PROJECTIONS

被引：0

作者：

Zhang, Shuo ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Math Sci, 800 Dong Chuan Rd, Shanghai 200240, Peoples R China

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2020年 / 46卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Bergman projection; L-p-norm estimate; generalized Hartogs triangle; SZEGO PROJECTIONS; KERNEL; BOUNDEDNESS; OPERATORS; DOMAINS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the L-p-norm estimates for the Bergman projection operators on several types of generalized Hartogs triangles in this note. As a direct application of our main results, we obtain the asymptotic behaviors for the L-p-norm of the Bergman projections when p tends to the endpoints of the range of p in which the Bergman projection operators are bounded on L-p spaces.

引用

下载

页码：771 / 796

页数：26

共 50 条

[1] Lp-norm estimate of the Bergman projection on Hartogs triangle
Beberok, Tomasz
ARCHIV DER MATHEMATIK, 2017, 109 (04) : 341 - 353
[2] A sharp norm estimate of the Bergman projection on Lp spaces
Zhu, Kehe
Bergman Spaces and Related Topics in Complex Analysis, Proceedings, 2006, 404 : 199 - 205
[3] AN LP-NORM INEQUALITY
WU, PY
AMERICAN MATHEMATICAL MONTHLY, 1983, 90 (06): : 411 - 412
[4] LP-NORM DECONVOLUTION
DEBEYE, HWJ
VANRIEL, P
GEOPHYSICAL PROSPECTING, 1990, 38 (04) : 381 - 403
[5] Capped lp-norm linear discriminant analysis for robust projections learning
Wang, Zheng
Hu, Haojie
Wang, Rong
Zhang, Qianrong
Nie, Feiping
Li, Xuelong
NEUROCOMPUTING, 2022, 511 : 399 - 409
[6] Two sided norm estimate of the Bergman projection on Lp spaces
Dostanic, Milutin R.
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2008, 58 (02) : 569 - 575
[7] Two sided norm estimate of the Bergman projection on Lp spaces
Milutin R. Dostanić
Czechoslovak Mathematical Journal, 2008, 58 : 569 - 575
[8] A sharp norm estimate for weighted Bergman projections on the minimal ball
Gonessa, Jocelyn
Zhu, Kehe
NEW YORK JOURNAL OF MATHEMATICS, 2011, 17A : 101 - 112
[9] Trigonometric approximation in Lp-norm
Leindler, L
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 302 (01) : 129 - 136
[10] On the Simultaneous Approximation in Lp-norm
周颂平
Journal of Mathematical Research with Applications, 1984, (04) : 36 - 36

← 1 2 3 4 5 →