A Fractional Muckenhoupt–Wheeden Theorem and its Consequences

By D. Cruz-Uribe, Kabe Moen, Sfo. 2013

51 citations recorded by the source corpus.

In the 1970s Muckenhoupt and Wheeden made several conjectures relating two weight norm inequalities for the Hardy-Littlewood maximal operator to such inequalities for singular integrals. Using techniques developed for the recent proof of the A2 conjecture we prove a related pair of conjectures linking the Riesz potential and the fractional maximal operator. As a consequence we are able to prove a number of sharp one and two weight norm inequalities for the Riesz potential.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/deac800bbfa785a8ab1c7147a4afdd1e7e6ee86c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. D. Cruz-Uribe
2. Andrei K. Lerner
3. Kabe Moen
4. Tuomas Hytönen
5. C. P'erez
6. P. Hasto
7. Dachun Yang
8. J. M. Martell

Citations in the corpus

• Two weight norm inequalities for fractional integral operators and commutators (2014, methodology): “This fact has been part of the folklore of the field, but a counter-example was not published until recently [24].”