J Austral Math Soc Ser A 49 pp319--326, 1990.

On Some Reverse Integral Inequalities

Luciana Nania

(Received 14 March 1989; revised 5 June 1989)

Abstract

We prove the higher integrability of nonnegative decreasing functions, verifying a reverse inequality, and we calculate the optimal integrability exponent for these functions.

1980 AMS Subject Classification (1985 Revision): 26D15

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Authors

Luciana Nania: Dipartimento di Matematica e Applicazioni, "R. Caccioppoli", Via Mezzocannone 8, 90134 Napoli, Italy.

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Last Modified: Wed Feb 19 10:27:52 2003