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arXiv:1110.1890 [math.CA]AbstractReferencesReviewsResources

Representation of bi-parameter singular integrals by dyadic operators

Henri Martikainen

Published 2011-10-09Version 1

We prove a dyadic representation theorem for bi-parameter singular integrals. That is, we represent certain bi-parameter operators as rapidly decaying averages of what we call bi-parameter shifts. A new version of the product space T1 theorem is established as a consequence.

Comments: 26 pages
Journal: Adv. Math. 229 (3) (2012) 1734-1761
Categories: math.CA
Subjects: 42B20
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