The $\textrm {T}1$ theorem for martingales
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- by Andrew G. Bennett PDF
- Proc. Amer. Math. Soc. 107 (1989), 493-502 Request permission
Abstract:
The $T1$ theorem of David and Journé gives necessary and sufficient conditions that a singular integral operator be bounded from ${L^2}({R^n})$ to ${L^2}({R^n})$. In this paper, the definition of singular integral operator is extended to the setting of operators on ${L^2}(\Omega )$ where $\Omega$ denotes Wiener space. The main theorem is that the $T1$ theorem holds in this new setting.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 493-502
- MSC: Primary 60G46; Secondary 42B20
- DOI: https://doi.org/10.1090/S0002-9939-1989-0979217-9
- MathSciNet review: 979217