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Reduction of Opial-type inequalities to norm inequalities |
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| Authors: | Gord Sinnamon |
| Institution: | Department of Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, Canada |
| 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. |
| Keywords: | Opial inequality Opial-type inequality weight |
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