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.
Citation
L. Aizenberg. E. Liflyand. "Hardy spaces in Reinhardt domains, and Hausdorff operators." Illinois J. Math. 53 (4) 1033 - 1049, Winter 2009. https://doi.org/10.1215/ijm/1290435337
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