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

Volume 116 / 1995

David Cruz-Uribe Studia Mathematica 116 (1995), 255-270 DOI: 10.4064/sm-116-3-255-270

Abstract

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.

Authors

  • David Cruz-Uribe

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