| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5775079 | Journal of Mathematical Analysis and Applications | 2017 | 10 Pages |
Abstract
The Muckenhoupt-Wheeden conjecture is disproved for fractional integral operator. Both the strong (p,p) and the weak (p,p) type conjectures are proved to be false. The arguments rely upon a property of the characteristic function of an approximating sequence of the Cantor set.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yoshihiro Sawano, Satoko Sugano, Hitoshi Tanaka,