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
  • [21] MONOPOLISTIC EQUILIBRIUM, NON-CONVEXITY AND INVERSE DEMAND
    FITZROY, FR
    JOURNAL OF ECONOMIC THEORY, 1974, 7 (01) : 1 - 16
  • [22] Fundamental Non-convexity and Externalities: A Differentiable Approach
    Ericson, Richard E.
    Kung, Fan-chin
    B E JOURNAL OF THEORETICAL ECONOMICS, 2015, 15 (01): : 49 - 62
  • [23] Some new sharp limit Hardy-type inequalities via convexity
    Sorina Barza
    Lars-Erik Persson
    Natasha Samko
    Journal of Inequalities and Applications, 2014
  • [24] SOME NEW MULTIDIMENSIONAL HARDY-TYPE INEQUALITIES WITH KERNELS VIA CONVEXITY
    Oguntuase, James A.
    Durojaye, Philip
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2013, 93 (107): : 153 - 164
  • [25] A Measure of Non-convexity in the Plane and the Minkowski Sum
    Karasev, R. N.
    DISCRETE & COMPUTATIONAL GEOMETRY, 2010, 44 (03) : 608 - 621
  • [26] NON-CONVEXITY, DISCOUNTING AND INFINITE HORIZON OPTIMIZATION
    Majumdar, Mukul
    Roy, Santanu
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2009, 10 (02) : 261 - 278
  • [27] Some new sharp limit Hardy-type inequalities via convexity
    Barza, Sorina
    Persson, Lars-Erik
    Samko, Natasha
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [28] Bias Versus Non-Convexity in Compressed Sensing
    Gerosa, Daniele
    Carlsson, Marcus
    Olsson, Carl
    JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2022, 64 (04) : 379 - 394
  • [29] Implementation of Nash bargaining solutions with non-convexity
    Qin, Cheng-Zhong
    Tan, Guofu
    Wong, Adam Chi Leung
    ECONOMICS LETTERS, 2019, 178 : 46 - 49
  • [30] HOW THE LAW CIRCUMVENTS STARRETT NON-CONVEXITY
    COOTER, RD
    JOURNAL OF ECONOMIC THEORY, 1980, 22 (03) : 499 - 504