| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6419466 | Journal of Mathematical Analysis and Applications | 2011 | 5 Pages |
Abstract
We discuss conditions on weight functions, necessary or sufficient, so that the Fourier transform is bounded from one weighted Lebesgue space to another. The sufficient condition and the primary necessary condition presented are similar, one being phrased is terms of arbitrary measurable sets and the other in terms of cubes. We believe that the symmetry amongst the two conditions helps frame how a single condition, necessary and sufficient, might appear.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ryan Berndt,