A new proof of the bilinear T(1) Theorem
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Abstract:
A new simple proof of the bilinear T(1) Theorem in the spirit of the proof of Coifman-Meyer of the celebrated result of David and Journé in the linear case is presented. This new proof is obtained independently of the linear T(1) Theorem by combining recent bilinear square function bounds and a paraproduct construction.References
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Additional Information
- Jarod Hart
- Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
- MR Author ID: 863762
- Email: jhart@math.ku.edu
- Received by editor(s): May 25, 2012
- Received by editor(s) in revised form: May 26, 2012, July 11, 2012, July 12, 2012, August 21, 2012, and October 3, 2012
- Published electronically: May 29, 2014
- Additional Notes: The author was supported in part by NSF Grant #DMS1069015.
- Communicated by: Alexander Iosevich
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 3169-3181
- MSC (2010): Primary 42B20; Secondary 42B25
- DOI: https://doi.org/10.1090/S0002-9939-2014-12054-5
- MathSciNet review: 3223373