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Hardy inequalities in half spaces of the Heisenberg group
被引:4
作者
:
Han, Junqiang
论文数:
0
引用数:
0
h-index:
0
机构:
NW Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
NW Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Han, Junqiang
[
1
]
Niu, Pengcheng
论文数:
0
引用数:
0
h-index:
0
机构:
NW Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
NW Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Niu, Pengcheng
[
1
]
Qin, Wenji
论文数:
0
引用数:
0
h-index:
0
机构:
Xian Polytech Univ, Coll Comp Sci, Xian 710048, Shaanxi, Peoples R China
NW Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Qin, Wenji
[
2
]
机构
:
[1]
NW Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
[2]
Xian Polytech Univ, Coll Comp Sci, Xian 710048, Shaanxi, Peoples R China
来源
:
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
|
2008年
/ 45卷
/ 03期
关键词
:
hardy inequality;
half space;
Heisenberg group;
D O I
:
10.4134/BKMS.2008.45.3.405
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
In this paper we prove some Hardy inequalities in the half space of the Heisenberg group and indicate the sharp constant.
引用
收藏
页码:405 / 417
页数:13
相关论文
共 6 条
[1]
Some Hardy inequalities on the Heisenberg group
[J].
D'Ambrosio, L
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Studi Bari, Bari, Italy
Univ Studi Bari, Bari, Italy
D'Ambrosio, L
.
DIFFERENTIAL EQUATIONS,
2004,
40
(04)
:552
-564
[2]
FREQUENCY FUNCTIONS ON THE HEISENBERG-GROUP, THE UNCERTAINTY PRINCIPLE AND UNIQUE CONTINUATION
[J].
GAROFALO, N
论文数:
0
引用数:
0
h-index:
0
机构:
PURDUE UNIV,DEPT MATH,W LAFAYETTE,IN 47907
GAROFALO, N
;
LANCONELLI, E
论文数:
0
引用数:
0
h-index:
0
机构:
PURDUE UNIV,DEPT MATH,W LAFAYETTE,IN 47907
LANCONELLI, E
.
ANNALES DE L INSTITUT FOURIER,
1990,
40
(02)
:313
-356
[3]
On a degenerate heat equation with a singular potential
[J].
Goldstein, JA
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Memphis, Dept Math, Memphis, TN 38152 USA
Univ Memphis, Dept Math, Memphis, TN 38152 USA
Goldstein, JA
;
Zhang, QS
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Memphis, Dept Math, Memphis, TN 38152 USA
Univ Memphis, Dept Math, Memphis, TN 38152 USA
Zhang, QS
.
JOURNAL OF FUNCTIONAL ANALYSIS,
2001,
186
(02)
:342
-359
[4]
Han Y., 2003, J. Inequal. Pure Appl. Math, V4, P1
[5]
Hardy type and rellich type inequalities on the heisenberg group
[J].
Niu, PC
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Niu, PC
;
Zhang, HQ
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Zhang, HQ
;
Wang, Y
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Wang, Y
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2001,
129
(12)
:3623
-3630
[6]
A Hardy inequality in the half-space
[J].
Tidblom, J
论文数:
0
引用数:
0
h-index:
0
机构:
Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden
Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden
Tidblom, J
.
JOURNAL OF FUNCTIONAL ANALYSIS,
2005,
221
(02)
:482
-495
←
1
→
共 6 条
[1]
Some Hardy inequalities on the Heisenberg group
[J].
D'Ambrosio, L
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Studi Bari, Bari, Italy
Univ Studi Bari, Bari, Italy
D'Ambrosio, L
.
DIFFERENTIAL EQUATIONS,
2004,
40
(04)
:552
-564
[2]
FREQUENCY FUNCTIONS ON THE HEISENBERG-GROUP, THE UNCERTAINTY PRINCIPLE AND UNIQUE CONTINUATION
[J].
GAROFALO, N
论文数:
0
引用数:
0
h-index:
0
机构:
PURDUE UNIV,DEPT MATH,W LAFAYETTE,IN 47907
GAROFALO, N
;
LANCONELLI, E
论文数:
0
引用数:
0
h-index:
0
机构:
PURDUE UNIV,DEPT MATH,W LAFAYETTE,IN 47907
LANCONELLI, E
.
ANNALES DE L INSTITUT FOURIER,
1990,
40
(02)
:313
-356
[3]
On a degenerate heat equation with a singular potential
[J].
Goldstein, JA
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Memphis, Dept Math, Memphis, TN 38152 USA
Univ Memphis, Dept Math, Memphis, TN 38152 USA
Goldstein, JA
;
Zhang, QS
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Memphis, Dept Math, Memphis, TN 38152 USA
Univ Memphis, Dept Math, Memphis, TN 38152 USA
Zhang, QS
.
JOURNAL OF FUNCTIONAL ANALYSIS,
2001,
186
(02)
:342
-359
[4]
Han Y., 2003, J. Inequal. Pure Appl. Math, V4, P1
[5]
Hardy type and rellich type inequalities on the heisenberg group
[J].
Niu, PC
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Niu, PC
;
Zhang, HQ
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Zhang, HQ
;
Wang, Y
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Wang, Y
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2001,
129
(12)
:3623
-3630
[6]
A Hardy inequality in the half-space
[J].
Tidblom, J
论文数:
0
引用数:
0
h-index:
0
机构:
Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden
Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden
Tidblom, J
.
JOURNAL OF FUNCTIONAL ANALYSIS,
2005,
221
(02)
:482
-495
←
1
→