HARDY INEQUALITIES UNDER SOME NON-CONVEXITY MEASURES

被引：1

作者：

Abuelela, Waleed ^{[1
]}

机构：

[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 01期

关键词：

Hardy inequality; Non-convex domains;

D O I：

10.11650/tjm.17.2013.2023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering two different non-convexity measures, we obtain some new Hardy-type inequalities for non-convex domains Omega subset of R-n. We study the three-dimensional case and then generalise the approach to the n-dimensional case.

引用

页码：299 / 313

页数：15

共 10 条

[1] ON STRONG BARRIERS AND AN INEQUALITY OF HARDY FOR DOMAINS IN RN
ANCONA, A
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1986, 34 : 274 - 290
[2] [Anonymous], SPECTRAL THEORY DIFF
[3] Generalized Hardy inequality for the magnetic Dirichlet forms
Balinsky, A
Laptev, A
Sobolev, AV
[J]. JOURNAL OF STATISTICAL PHYSICS, 2004, 116 (1-4) : 507 - 521
[4] Birman MS, 1996, COMMUN PUR APPL MATH, V49, P967
[5] Davies E. B., 1999, OPER THEORY ADV APPL, V110, P55
[6] The Hardy constant
Davies, EB
[J]. QUARTERLY JOURNAL OF MATHEMATICS, 1995, 46 (184) : 417 - 431
[7] DAVIES EB, 1989, HEAT KERNELS SPECTRA
[8] Hardy G. H., 1952, Inequalities
[9] Laptev A., 2008, AM MATH SOC TRANSL 2, V2, P133
[10] TIDBLOM J., 2005, THESIS STOCKHOLM U

← 1 →