Characterizations of product Hardy space associated to Schrodinger operators

被引：0

作者：

Zhao, Kai ^{[1
]}

Liu, Su-ying ^{[1
]}

Jiang, Xiu-tian ^{[1
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2019年 / 34卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Product Hardy space; Schrodinger operator; characterization; Littlewood-Paley function; maximal function; HAUSDORFF OPERATORS; COVERING LEMMA; HP-THEORY; BMO; DECOMPOSITION; BOUNDEDNESS; DUALITY; DOMAINS; VERSION;

D O I：

10.1007/s11766-019-3442-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L-1 and L-2 be the Schrodinger operators on Double-struck capital R-n and Double-struck capital R-m, respectively. By using different maximal functions and Littlewood-Paley g function on distinct variables, in this paper, some characterizations for functions in the product Hardy space HL1,L21associated to operators L-1 and L-2 are obtained.

引用

页码：379 / 392

页数：14

共 32 条

[1] Hardy spaces and divergence operators on strongly Lipschitz domains of Rn [J].

Auscher, P ;

Russ, E .

JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 201 (01) :148-184

[2] A CONTINUOUS VERSION OF DUALITY OF H-1 WITH BMO ON THE BIDISC [J].

CHANG, SYA ;

FEFFERMAN, R .

ANNALS OF MATHEMATICS, 1980, 112 (01) :179-201

[3] THE CALDERON-ZYGMUND DECOMPOSITION ON PRODUCT DOMAINS [J].

CHANG, SYA ;

FEFFERMAN, R .

AMERICAN JOURNAL OF MATHEMATICS, 1982, 104 (03) :455-468

[4] SOME RECENT DEVELOPMENTS IN FOURIER-ANALYSIS AND HP-THEORY ON PRODUCT DOMAINS [J].

CHANG, SYA ;

FEFFERMAN, R .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 12 (01) :1-43

[5] Boundedness of Hausdorff operators on some product Hardy type spaces [J].

Chen Jie-cheng ;

Fan Da-shan ;

Zhang Chun-jie .

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2012, 27 (01) :114-126

[6] SOME NEW FUNCTION-SPACES AND THEIR APPLICATIONS TO HARMONIC-ANALYSIS [J].

COIFMAN, RR ;

MEYER, Y ;

STEIN, EM .

JOURNAL OF FUNCTIONAL ANALYSIS, 1985, 62 (02) :304-335

[7] Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups [J].

Cui Xiao-yue ;

Lam Nguyen ;

Lu Guo-zhen .

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2013, 28 (04) :531-547

[8] Duality of hardy and BMO spaces associated with operators with heat Kernel bounds on product domains [J].

Deng, Donggao ;

Song, Liang ;

Tan, Chaoqiang ;

Yan, Lixin .

JOURNAL OF GEOMETRIC ANALYSIS, 2007, 17 (03) :455-483

[9]

Dziubanski J, 1999, REV MAT IBEROAM, V15, P279

[10]

FEFFERMAN C, 1972, ACTA MATH-UPPSALA, V129, P137, DOI 10.1007/BF02392215

← 1 2 3 4 →