Bilinear representation theorem
We represent a general bilinear Calderón-Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In particular, the representation implies a so-called sparse T1 theorem for bilinear singular integrals.
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| Veröffentlicht in: | Transactions of the American Mathematical Society 2019-03, Vol.371 (6), p.4193-4214 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We represent a general bilinear Calderón-Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In particular, the representation implies a so-called sparse T1 theorem for bilinear singular integrals. |
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| ISSN: | 0002-9947 1088-6850 |
| DOI: | 10.1090/tran/7505 |