Weighted norm inequalities for averaging operators of monotone functions.
Christoph J. Neugebauer (1991)
Publicacions Matemàtiques
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We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫ f of monotone functions.
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Weighted norm inequalities for averaging operators of monotone functions.
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Shuichi Sato (1989)
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We prove weighted inequalities for square functions of Littlewood-Paley type defined from a decomposition of the plane into sectors of lacunary aperture and for the maximal function over a lacunary set of directions. Some applications to multiplier theorems are also given.
Equivalence of norms in one-sided Hp spaces.
Liliana de Rosa, Carlos Segovia (2002)
Collectanea Mathematica
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One-sided versions of maximal functions for suitable defined distributions are considered. Weighted norm equivalences of these maximal functions for weights in the Sawyer's Aq+ classes are obtained.
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Benjamin Muckenhoupt, Richard Wheeden (1978)
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The one-sided minimal operator and the one-sided reverse Holder inequality
David Cruz-Uribe, SFO, C. Neugebauer, V. Olesen (1995)
Studia Mathematica
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We introduce the one-sided minimal operator, , which is analogous to the one-sided maximal operator. We determine the weight classes which govern its two-weight, strong and weak-type norm inequalities, and show that these two classes are the same. Then in the one-weight case we use this class to introduce a new one-sided reverse Hölder inequality which has several applications to one-sided weights.
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D. Deng (1984)
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On weighted norm inequalities for the Riesz transforms of functions with vanishing moments
Ernst Adams (1984)
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A stability result on Muckenhoupt's weights.
Juha Kinnunen (1998)
Publicacions Matemàtiques
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We prove that Muckenhoupt's A-weights satisfy a reverse Hölder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of A-weights.