Weighted norm inequalities and Schur's Lemma
Michael Christ (1984)
Studia Mathematica
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Michael Christ (1984)
Studia Mathematica
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Carlos Pérez Moreno (1991)
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The main purpose of this paper is to use some of the results and techniques in [9] to further investigate weighted norm inequalities for Hardy-Littlewood type maximal operators.
Qiyu Sun (1992)
Studia Mathematica
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We give a characterization of the weights (u,w) for which the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w). We give a characterization of the weight functions w (respectively u) for which there exists a nontrivial u (respectively w > 0 almost everywhere) such that the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w).
R. Gundy, R. Wheeden (1974)
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Qinsheng Lai (1995)
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Douglas Kurtz (1975)
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Benjamin Muckenhoupt (1974)
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David Cruz-Uribe, Christoph J. Neugebauer, Victor Olesen (1997)
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We study the weighted norm inequalities for the minimal operator, a new operator analogous to the Hardy-Littlewood maximal operator which arose in the study of reverse Hölder inequalities. We characterize the classes of weights which govern the strong and weak-type norm inequalities for the minimal operator in the two weight case, and show that these classes are the same. We also show that a generalization of the minimal operator can be used to obtain information about the differentiability...
R. Coifman, C. Fefferman (1974)
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Mark Leckband (1987)
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Eric Sawyer (1982)
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