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Journal of the London Mathematical Society Advance Access originally published online on February 20, 2008
Journal of the London Mathematical Society 2008 77(3):581-592; doi:10.1112/jlms/jdm116
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© 2008 London Mathematical Society

A strengthened version of the Hardy–Littlewood inequality

Andrea Cianchi

Dipartimento di Matematica e Applicazioni per l’Architettura
Università di Firenze
Piazza Ghiberti 27
50122 Firenze
Italy

Adele Ferone

Dipartimento di Matematica
Seconda Università di Napoli
Via Vivaldi 43
81100 Caserta
Italy
adele.ferone@unina2.it

A quantitative version of the Hardy–Littlewood rearrangement inequality, involving a remainder term depending on a distance from the class of functions attaining equality, is established.

2000 Mathematics Subject Classification 26D15, 46E30.

Received October 6, 2006; published online February 20, 2008.


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