1. On the best ranges for $A^+_p$ and $RH_r^+$
- Creator:
- Riveros, María Silvina and Torre, A. de la
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- one-sided weights, one-sided reverse Hölder, and factorization
- Language:
- English
- Description:
- In this paper we study the relationship between one-sided reverse Hölder classes $RH_r^+$ and the $A_p^+$ classes. We find the best possible range of $RH_r^+$ to which an $A_1^+$ weight belongs, in terms of the $A_1^+$ constant. Conversely, we also find the best range of $A_p^+$ to which a $RH_\infty ^+$ weight belongs, in terms of the $RH_\infty ^+$ constant. Similar problems for $A_p^+$, $1<p<\infty $ and $RH_r^+$, $1<r<\infty $ are solved using factorization.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public