Geodesic
The one-sided minimal operator and the one-sided reverse Holder inequality
Studia Mathematica, Tome 116 (1995) no. 3, pp. 255-270

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-116-3-255-270
Keywords: one-sided (A_p) weights, reverse Hölder inequality, minimal function

David Cruz-Uribe 1

1 
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David Cruz-Uribe. The one-sided minimal operator and the one-sided reverse Holder inequality. Studia Mathematica, Tome 116 (1995) no. 3, pp. 255-270. doi: 10.4064/sm-116-3-255-270

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