Hardy spaces in reinhardt domains, and hausdorff operators

L. Aizenberg, E. Liflyand

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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 languageEnglish
Pages (from-to)1033-1049
Number of pages17
JournalIllinois Journal of Mathematics
Volume53
Issue number4
DOIs
StatePublished - 2009

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