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
收藏
页码:299 / 313
页数:15
相关论文
共 50 条
  • [1] On three measures of non-convexity
    Josef Cibulka
    Miroslav Korbelář
    Jan Kynčl
    Viola Mészáros
    Rudolf Stolař
    Pavel Valtr
    Israel Journal of Mathematics, 2017, 218 : 331 - 369
  • [2] ON THREE MEASURES OF NON-CONVEXITY
    Cibulka, Josef
    Korbelar, Miroslav
    Kyncl, Jan
    Meszaros, Viola
    Stolar, Rudolf
    Cibulka, J.
    Valtr, Pavel
    ISRAEL JOURNAL OF MATHEMATICS, 2017, 218 (01) : 331 - 369
  • [3] Statistical analysis of measures of non-convexity
    Cholaquidis, Alejandro
    Fraiman, Ricardo
    Moreno, Leonardo
    Pateiro-Lopez, Beatriz
    TEST, 2024, 33 (01) : 180 - 203
  • [4] Statistical analysis of measures of non-convexity
    Alejandro Cholaquidis
    Ricardo Fraiman
    Leonardo Moreno
    Beatriz Pateiro-López
    TEST, 2024, 33 : 180 - 203
  • [5] On economic efficiency under non-convexity
    Jean-Paul Chavas
    Walter Briec
    Economic Theory, 2012, 50 : 671 - 701
  • [6] On economic efficiency under non-convexity
    Chavas, Jean-Paul
    Briec, Walter
    ECONOMIC THEORY, 2012, 50 (03) : 671 - 701
  • [7] COMMENTS ON NON-CONVEXITY
    ROTHENBERG, J
    JOURNAL OF POLITICAL ECONOMY, 1961, 69 (05) : 490 - 492
  • [8] Non-convexity of extremal length
    Sagman, Nathaniel
    ANNALES FENNICI MATHEMATICI, 2023, 48 (02): : 691 - 702
  • [9] MEASURES OF NON-CONVEXITY OF SETS AND SHAPLEY-FOLKMAN-STARR THEOREM
    CASSELS, JWS
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 78 (NOV) : 433 - 436
  • [10] COMMENTS ON NON-CONVEXITY - REJOINDER
    FARRELL, MJ
    JOURNAL OF POLITICAL ECONOMY, 1961, 69 (05) : 493 - 493