Boundedness of area operators on anisotropic Hardy spaces

被引:0
作者
Pang, Changbao [1 ]
Wang, Maofa [2 ]
Xu, Bang [3 ,4 ,5 ]
机构
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan, Peoples R China
[3] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China
[4] Univ Houston, Dept Math, Houston, TX USA
[5] Univ Houston, Dept Math, Houston, TX 77204 USA
基金
中国国家自然科学基金;
关键词
anisotropy; area operator; Hardy space; Lebesgue space; mixed-norm; LP;
D O I
10.1002/mana.202300134
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we completely characterize the boundedness theory of anisotropic area operators from anisotropic mixed-norm Hardy spaces H-(a) over right arrow((P) over right arrow)(R-n) into mixednorm Lebesgue spaces L-(P) over right arrow(R-n) in terms of Carleson measures.
引用
收藏
页码:1550 / 1569
页数:20
相关论文
共 30 条
[1]  
AHERN P, 1988, REV MAT IBEROAM, V4, P123, DOI DOI 10.4171/RMI/66
[2]   Embedding Bergman spaces into tent spaces [J].
Angel Pelaez, Jose ;
Rattya, Jouni ;
Sierra, Kian .
MATHEMATISCHE ZEITSCHRIFT, 2015, 281 (3-4) :1215-1237
[3]  
Peláez JA, 2014, MEM AM MATH SOC, V227, P1
[4]   SPACES LP, WITH MIXED NORM [J].
BENEDEK, A ;
PANZONE, R .
DUKE MATHEMATICAL JOURNAL, 1961, 28 (03) :301-&
[5]  
Bownik M, 2003, MEM AM MATH SOC, V164, P1
[7]   AN INTERPOLATION PROBLEM FOR BOUNDED ANALYTIC FUNCTIONS [J].
CARLESON, L .
AMERICAN JOURNAL OF MATHEMATICS, 1958, 80 (04) :921-930
[8]   INTERPOLATIONS BY BOUNDED ANALYTIC FUNCTIONS AND CORONA PROBLEM [J].
CARLESON, L .
ANNALS OF MATHEMATICS, 1962, 76 (03) :547-&
[9]   Anisotropic Mixed-Norm Hardy Spaces [J].
Cleanthous, G. ;
Georgiadis, A. G. ;
Nielsen, M. .
JOURNAL OF GEOMETRIC ANALYSIS, 2017, 27 (04) :2758-2787
[10]   Generalized area operators on Hardy spaces [J].
Cohn, WS .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 216 (01) :112-121