A $T(b)$ theorem on product spaces
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Abstract:
The main result of this paper is a bi-parameter $T(b)$ theorem for the case that $b$ is a tensor product of two pseudo-accretive functions. In the proof, we also discuss the $L^2$ boundedness of different types of the $b$-adapted bi-parameter paraproducts.References
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Additional Information
- Yumeng Ou
- Affiliation: Department of Mathematics, Brown University, 151 Thayer Street, Providence, Rhode Island 02912
- MR Author ID: 1112799
- Email: yumeng_ou@brown.edu
- Received by editor(s): June 4, 2013
- Published electronically: January 29, 2015
- Additional Notes: The author was partially supported by NSF-DMS 0901139 and ARC DP 120100399.
- © Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 6159-6197
- MSC (2010): Primary 42B20
- DOI: https://doi.org/10.1090/S0002-9947-2015-06246-1
- MathSciNet review: 3356933