Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series
R. Gundy, R. Wheeden (1974)
Studia Mathematica
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R. Gundy, R. Wheeden (1974)
Studia Mathematica
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E. Sawyer (1985)
Studia Mathematica
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José García, Javier Soria (1999)
Studia Mathematica
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We characterize geometric properties of a family of approach regions by means of analytic properties of the class of weights related to the boundedness of the maximal operator associated with this family.
Benjamin Muckenhoupt (1974)
Studia Mathematica
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Donald Krug, Alberto Torchinsky (1994)
Revista Matemática Iberoamericana
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In this paper we discuss a weighted version of Journé's covering lemma, a substitution for Whitney decomposition of an open set in R where squares are replaced by rectangles. We then apply this result to obtain a sharp version of the atomic decomposition of the weighted Hardy spaces H (R x R ) and a description of their duals when p is close to 1.
Oscar Salinas (1991)
Studia Mathematica
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Carlos Pérez Moreno (1991)
Publicacions Matemàtiques
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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).
Michael Christ (1984)
Studia Mathematica
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Kenneth Andersen, Russel John (1981)
Studia Mathematica
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