Abstract
In the paper, we characterize two weight weak and strong type inequalities for the fractional one-sided maximal operators on Lorentz and Orlicz space.
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Sawyer, E. T., Weighted Inequalities for the One-sided Hardy-Littlewood Maximal Functions. Trans. Amer. Math. Soc., 297 (1986), 53–61.
Martin-Reyes, F. J., de la Torre, A., Two Weight Norm Inequalities for Fractional One-sided Maximal Operators, Proc. Amer. Math. Soc., 117 (1993), 483–489.
Hunt, R. A., OnL(p,q) Spaces, Enseign. Math., 12 (1966), 249–276.
Chung, H. M., Hunt, R. A. and Kurtz, D. S., The Hardy-Littlewood Maximal Functions onL(p,q) with Weights, Indiana Univ. Math. J., 31 (1982), 109–120.
Krasnoselsky, M. A. and Rutitsky, Convex Functions and Orlicz Spaces, Nordhoff, Groningen, 1961.
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Lanzhe, L. Two weight inequalities for fractional one-sided maximal operators on Orlicz and Lorentz spaces. Approx. Theory & its Appl. 14, 28–37 (1998). https://doi.org/10.1007/BF02836926
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DOI: https://doi.org/10.1007/BF02836926