A simple proof of Hardy’s inequality in a limiting case

A simple proof of Hardy’s inequality in a limiting case

In this short note, we provide a simple proof of Hardy’s inequality in a limiting case. In the proof we do not need any symmetrization technique such as the Polya–Szegö inequality for the spherical decreasing rearrangement.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Archiv der Mathematik 2015-01, Vol.104 (1), p.77-82
1. Verfasser: Takahashi, Futoshi
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this short note, we provide a simple proof of Hardy’s inequality in a limiting case. In the proof we do not need any symmetrization technique such as the Polya–Szegö inequality for the spherical decreasing rearrangement.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-014-0711-8