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Bulletin of the London Mathematical Society Advance Access published online on May 6, 2008
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdn035
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© 2008 London Mathematical Society

A Hardy–Littlewood-type inequality for the p-Laplacian

S. Aumann

Mathematisches Institut
Ludwig-Maximilians-Universität München
80333 Muenchen
Germany
simon.aumann@web.de

B. M. Brown

Department of Computer Science
Cardiff University
Cardiff
CF24 3XF
United kingdom
Malcolm.Brown@cs.cardiff.ac.uk

K. M. Schmidt

School of Mathematics
Cardiff University
Cardiff
CF24 4AG
United Kingdom

Received 19 October 2007. Revision received 21 February 2008.

We establish an analogue for the p-Laplacian on the half-line of an integro-differential inequality of Hardy and Littlewood and estimate the optimal constant.

2000 Mathematics Subject Classification 26D10, 34A40, 47J20, 49J40.


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