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arXiv · 1110.1890

Representation of bi-parameter singular integrals by dyadic operators

Henri Martikainen
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Abstract

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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Henri Martikainen. 2011-10-09. Representation of bi-parameter singular integrals by dyadic operators. https://arxiv.org/abs/1110.1890

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