SOME HARDY INEQUALITIES ON HALF SPACES FOR GRUSHIN TYPE OPERATORS

被引：1

作者：

Xiao, Ying-Xiong ^{[1
]}

机构：

[1] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2013年 / 16卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hardy inequality; Grushin type operators;

D O I：

10.7153/mia-16-60

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some sharp Hardy type inequalities on half spaces for Grushin type operators like Delta(x) + (1+gamma)(2) vertical bar x vertical bar(2 gamma) Delta(y) with gamma > 0.

引用

页码：793 / 807

页数：15

共 50 条

[21] Subelliptic geometric Hardy type inequalities on half-spaces and convex domains
Ruzhansky, Michael
Sabitbek, Bolys
Suragan, Durvudkhan
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 1042 - 1061
[22] FRACTIONAL HARDY-SOBOLEV TYPE INEQUALITIES FOR HALF SPACES AND JOHN DOMAINS
Dyda, Bartlomiej
Lehrback, Juha
Vahakangas, Antti V.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (08) : 3393 - 3402
[23] PANEITZ OPERATORS ON HYPERBOLIC SPACES AND HIGH ORDER HARDY-SOBOLEV-MAZ'YA INEQUALITIES ON HALF SPACES
Lu, Guozhen
Yang, Qiaohua
[J]. AMERICAN JOURNAL OF MATHEMATICS, 2019, 141 (06) : 1777 - 1816
[24] On Hardy and BMO Spaces for Grushin Operator
Dziubanski, Jacek
Jotsaroop, K.
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2016, 22 (04) : 954 - 995
[25] WEIGHTED SOBOLEV-POINCARE INEQUALITIES FOR GRUSHIN TYPE OPERATORS
FRANCHI, B
GUTIERREZ, CE
WHEEDEN, RL
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1994, 19 (3-4) : 523 - 604
[26] Fractional Hardy-Sobolev inequalities on half spaces
Musina, Roberta
Nazarov, Alexander I.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 178 : 32 - 40
[27] Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces
Kalybay, Aigerim
[J]. OPEN MATHEMATICS, 2024, 22 (01):
[28] On Hardy and BMO Spaces for Grushin Operator
Jacek Dziubański
K. Jotsaroop
[J]. Journal of Fourier Analysis and Applications, 2016, 22 : 954 - 995
[29] Some Inequalities of Kato Type for Sequences of Operators in Hilbert Spaces
Dragomir, S. S.
[J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2012, 48 (04) : 937 - 955
[30] Some Schwarz type inequalities for sequences of operators in Hilbert spaces
Dragomir, SS
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 73 (01) : 17 - 26

← 1 2 3 4 5 →