Hardy spaces in Reinhardt domains, and Hausdorff operators (Q610637)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Hardy spaces in Reinhardt domains, and Hausdorff operators |
scientific article; zbMATH DE number 5824932
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hardy spaces in Reinhardt domains, and Hausdorff operators |
scientific article; zbMATH DE number 5824932 |
Statements
Hardy spaces in Reinhardt domains, and Hausdorff operators (English)
0 references
8 December 2010
0 references
Criteria for a complex-valued function \(f\) to be in the Hardy space on a bounded complete Reinhardt domain are given. By using this result and known one-dimensional results, some boundedness conditions for multivariate Hausdorff operators on Hardy spaces in Reinhardt domains are presented. The only known earlier result for the polydisk is a particular case of the results of this paper.
0 references
0.9277694
0 references
0.9277611
0 references
0.9252986
0 references
0.92527837
0 references
