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 |