Various characterizations of product Hardy spaces associated to Schrodinger operators

被引：6

作者：

Liu SuYing ^{[1
]}

Zhao Kai ^{[1
]}

机构：

[1] Qingdao Univ, Coll Math, Qingdao 266071, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2015年 / 58卷 / 12期

基金：

中国国家自然科学基金;

关键词：

product Hardy space; Schrodinger operator; non-tangential maximal and quadratic function; semigroup; product atom; COVERING LEMMA; HP-THEORY; BMO; DUALITY; DOMAINS; VERSION;

D O I：

10.1007/s11425-015-5071-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For every i = 1, 2, we let be a Schrodinger operator on in which is a non-negative function on . We obtain some characterizations for functions in the product Hardy space associated to L (1) and L (2) by using different norms on distinct variables.

引用

页码：2549 / 2564

页数：16

共 34 条

[1]

[Anonymous], 2009, Design of 3-DOF parallel manipulators for micro-motion applications, DOI DOI 10.5846/stxb201412122477

[2] 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

[3] Hardy spaces of differential forms on Riemannian manifolds [J].

Auscher, Pascal ;

McIntosh, Alan ;

Russ, Emmanuel .

JOURNAL OF GEOMETRIC ANALYSIS, 2008, 18 (01) :192-248

[4] Hardy spaces HLpRn) associated with operators satisfying k-Davies-Gaffney estimates [J].

Cao Jun ;

Yang DaChun .

SCIENCE CHINA-MATHEMATICS, 2012, 55 (07) :1403-1440

[5] 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

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

CHANG, SYA ;

FEFFERMAN, R .

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

[7] 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

[8] 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

[9]

CORDOBA A, 1975, ANN MATH, V102, P95

[10] 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

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