Maximal functions on classical Lorentz spaces and Hardy’s inequality with weights for nonincreasing functions
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- by Miguel A. Ariño and Benjamin Muckenhoupt PDF
- Trans. Amer. Math. Soc. 320 (1990), 727-735 Request permission
Abstract:
A characterization is given of a class of classical Lorentz spaces on which the Hardy Littlewood maximal operator is bounded. This is done by determining the weights for which Hardy’s inequality holds for nonincreasing functions. An alternate characterization, valid for nondecreasing weights, is also derived.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 320 (1990), 727-735
- MSC: Primary 42B25; Secondary 26D15, 46E30, 47B38
- DOI: https://doi.org/10.1090/S0002-9947-1990-0989570-0
- MathSciNet review: 989570