Hardy spaces in Reinhardt domains, and Hausdorff operators
Hardy spaces in Reinhardt domains, and Hausdorff operators
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 …