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Weighted Norm Inequalities for Geometric Fractional Maximal Operators.

C.J. Neugebauer; D. Cruz-Uribe; V. Olesen — 1999

The journal of Fourier analysis and applications [[Elektronische Ressource]]

The one-sided minimal operator and the one-sided reverse Holder inequality

David Cruz-Uribe; SFO; C. Neugebauer; V. Olesen — 1995

Studia Mathematica

We introduce the one-sided minimal operator, $m^{+} f$ , 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 $(A_{p}^{+})$ weights.

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