数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (5): 1382-1386.doi: 10.1016/S0252-9602(13)60089-2

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AN IMPROVED HARDY´S INEQUALITY

Assal MILOUD|Rahmouni ATEF   

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, North Jeddah, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Sciences of Bizerte, University of Carthage, Bizerte 7021, Tunisia
  • 收稿日期:2011-09-30 修回日期:2012-11-16 出版日期:2013-09-20 发布日期:2013-09-20
  • 基金资助:

    The Permanent address of Assal MILOUD: Department of Mathematics, Higher Institute of Applied Mathematics and Informatics, University of Kairouan, 3100, Tunisia.

AN IMPROVED HARDY´S INEQUALITY

Assal MILOUD|Rahmouni ATEF   

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, North Jeddah, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Sciences of Bizerte, University of Carthage, Bizerte 7021, Tunisia
  • Received:2011-09-30 Revised:2012-11-16 Online:2013-09-20 Published:2013-09-20
  • Supported by:

    The Permanent address of Assal MILOUD: Department of Mathematics, Higher Institute of Applied Mathematics and Informatics, University of Kairouan, 3100, Tunisia.

摘要:

In this paper we shall extend Hardy´s inequality associated with Fourier trans-form to the strip n(2−p) ≤σ < n+p(N +1) where N = [n(1/p−1)], the greatest integer not exceeding n(1/p − 1).

关键词: Hardy´s space, Hardy´s inequality

Abstract:

In this paper we shall extend Hardy´s inequality associated with Fourier trans-form to the strip n(2−p) ≤σ < n+p(N +1) where N = [n(1/p−1)], the greatest integer not exceeding n(1/p − 1).

Key words: Hardy´s space, Hardy´s inequality

中图分类号: 

  • 42B30