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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1986 Feb;83(4):840–843. doi: 10.1073/pnas.83.4.840

Calderón-Zygmund theory for product domains: Hp spaces

Robert Fefferman 1
PMCID: PMC322965  PMID: 16593656

Abstract

This article deals with the boundedness properties of singular integrals that generalize the double Hilbert transform on product domains. The action of these operators on Hardy spaces and on L(log L) is discussed.

Keywords: atomic decomposition, covering lemma

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Gundy R. F., Stein E. M. H theory for the poly-disc. Proc Natl Acad Sci U S A. 1979 Mar;76(3):1026–1029. doi: 10.1073/pnas.76.3.1026. [DOI] [PMC free article] [PubMed] [Google Scholar]

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