Reduction of Opial-type inequalities to norm inequalities

Sinnamon, Gord

doi:10.1090/S0002-9939-03-07184-3

Reduction of Opial-type inequalities to norm inequalities
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by Gord Sinnamon

Proc. Amer. Math. Soc. 132 (2004), 375-379

DOI: https://doi.org/10.1090/S0002-9939-03-07184-3

Published electronically: September 5, 2003

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Abstract:

Weighted Opial-type inequalities are shown to be equivalent to weighted norm inequalities for sublinear operators and for nearly positive operators. Examples involving the Hardy-Littlewood maximal function and the nonincreasing rearrangement are presented.

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