Representation of bi-parameter singular integrals by dyadic operators
classification
🧮 math.CA
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bi-parameterdyadicintegralsoperatorsrepresentationsingulartheoremaverages
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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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