Maximal Inequalities for the Best Approximation Operator and Simonenko Indices |
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| Authors: | Sonia Acinas Sergio Favier |
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| Institution: | 1. Instituto de Matemática Aplicada San Luis, IMASL, Universidad Nacional de San Luis and CONICET, Ejército de los Andes 950, D5700HHW San Luis, Argentina;Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, L6300CLB Santa Rosa, La Pampa, Argentina;2. Instituto de Matemática Aplicada San Luis, IMASL, Universidad Nacional de San Luis and CONICET, Ejército de los Andes 950, D5700HHW San Luis, Argentina;Departamento de Matemática, Universidad Nacional de San Luis, D5700HHW San Luis, Argentina |
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| Abstract: | In an abstract set up, we get strong type inequalities in L p+1 by assuming weak or extra-weak inequalities in Orlicz spaces. For some classes of functions, the number p is related to Simonenko indices. We apply the results to get strong inequal-ities for maximal functions associated to bestΦ-approximation operators in an Orlicz space LΦ. |
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| Keywords: | Simonenko indices maximal inequalities best approximation |
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