Abstract
We give criteria for a function to be in the Hardy space on a bounded complete Reinhardt domain. Using these and known one-dimensional results, we obtain boundedness conditions for Hausdorff operators on Hardy spaces in Reinhardt domains. The only known earlier result for the polydisk is a paticular case of the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 1033-1049 |
| Number of pages | 17 |
| Journal | Illinois Journal of Mathematics |
| Volume | 53 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2009 |