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

[11]

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

[12] CALDERON-ZYGMUND THEORY FOR PRODUCT DOMAINS - HP SPACES [J].

FEFFERMAN, R .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1986, 83 (04) :840-843

[13]

FEFFERMAN R, 1986, ANN MATH STUD, P47

[14] Hardy spaces H p over non-homogeneous metric measure spaces and their applications [J].

Fu Xing ;

Lin HaiBo ;

Yang DaChun ;

Yang DongYong .

SCIENCE CHINA-MATHEMATICS, 2015, 58 (02) :309-388

[15] A local version of Hardy spaces associated with operators on metric spaces [J].

Gong RuMing ;

Li Ji ;

Yan LiXin .

SCIENCE CHINA-MATHEMATICS, 2013, 56 (02) :315-330

[16] HP THEORY FOR THE POLY-DISC [J].

GUNDY, RF ;

STEIN, EM .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1979, 76 (03) :1026-1029

[17]

Hofmann S, 2011, MEM AM MATH SOC, V214, P1

[18] Hardy and BMO spaces associated to divergence form elliptic operators [J].

Hofmann, Steve ;

Mayboroda, Svitlana .

MATHEMATISCHE ANNALEN, 2009, 344 (01) :37-116

[19]

Jessen B., 1935, Fundam. Math., V25, P217, DOI 10.4064/fm-25-1-217-234

[20] ORLICZ-HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES [J].

Jiang, Renjin ;

Yang, Dachun .

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2011, 13 (02) :331-373

← 1 2 3 4 →