Representation of bi-parameter singular integrals by dyadic operators

Details Representation of bi-parameter singular integrals by dyadic operators Representation of bi-parameter singular integrals by dyadic operators

2011-10-09

arxiv.org/abs/1110.1890v1

Mathematics

Classical Analysis and ODEs

26 pages

Scientific paper

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.

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