WEIGHTED HARDY AND OPIAL-TYPE INEQUALITIES

被引：53
|
作者：
SINNAMON, GJ
机构：
[1] Department of Mathematics, University of Western Ontario, London
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 160卷 / 02期
关键词：
D O I：
10.1016/0022-247X(91)90316-R
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An integral condition on weights u and v is given which is equivalent to the boundedness of the Hardy operator between the weighted Lebesgue spaces Lup and Lvq with 0 < q < 1 < p < ∞. The Hardy inequalities are applied to give easily verified weight conditions which imply inequalities of Opial type. © 1991.
引用
收藏
页码：434 / 445
页数：12
相关论文
共 50 条
  • [21] ON OPIAL-TYPE INTEGRAL INEQUALITIES AND APPLICATIONS
    Zhao, Chang-Jian
    Cheung, Wing-Sum
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (01): : 223 - 232
  • [22] A Variety of Weighted Opial-Type Inequalities with Applications for Dynamic Equations on Time Scales
    Almarri, Barakah
    Makarish, Samer D.
    El-Deeb, Ahmed A.
    SYMMETRY-BASEL, 2023, 15 (05):
  • [23] Some Opial-Type Inequalities on Time Scales
    Saker, S. H.
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [24] New aspects of Opial-type integral inequalities
    Basci, Yasemin
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [25] Generalized Opial-Type Inequalities on Time Scales
    Aribike, E. E.
    Rauf, K.
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2021, 16 (01): : 275 - 286
  • [26] IMPROVEMENTS OF DYNAMIC OPIAL-TYPE INEQUALITIES AND APPLICATIONS
    Bohner, Martin J.
    Mahmoud, Ramy R.
    Saker, Samir H.
    DYNAMIC SYSTEMS AND APPLICATIONS, 2015, 24 (1-2): : 229 - 241
  • [27] New aspects of Opial-type integral inequalities
    Yasemin Başcı
    Dumitru Baleanu
    Advances in Difference Equations, 2018
  • [28] ON OPIAL-TYPE INEQUALITIES IN 2 INDEPENDENT VARIABLES
    PACHPATTE, BG
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 100 : 263 - 270
  • [29] Opial-type inequalities for conformable fractional integrals
    Sarikaya, Mehmet Zeki
    Budak, Huseyin
    JOURNAL OF APPLIED ANALYSIS, 2019, 25 (02) : 155 - 163
  • [30] MULTIPLE OPIAL-TYPE INEQUALITIES FOR GENERAL KERNELS WITH APPLICATIONS
    Iqbal, Sajid
    Pecaric, Josip
    Samraiz, Muhammad
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (02): : 381 - 396
12345