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Proceedings of the American Mathematical Society Series B

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Linear and bilinear $ T(b)$ theorems à la Stein


Authors: Árpád Bényi and Tadahiro Oh
Journal: Proc. Amer. Math. Soc. Ser. B 2 (2015), 1-16
MSC (2010): Primary 42B20
DOI: https://doi.org/10.1090/bproc/18
Published electronically: October 9, 2015
MathSciNet review: 3406428
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Abstract: In this work, we state and prove versions of the linear and bilinear $ T(b)$ theorems involving quantitative estimates, analogous to the quantitative linear $ T(1)$ theorem due to Stein.


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Additional Information

Árpád Bényi
Affiliation: Department of Mathematics, Western Washington University, 516 High Street, Bellingham, Washington 98225
Email: arpad.benyi@wwu.edu

Tadahiro Oh
Affiliation: School of Mathematics, The University of Edinburgh, and The Maxwell Institute for the Mathematical Sciences, James Clerk Maxwell Building, The King’s Buildings, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, United Kingdom
Email: hiro.oh@ed.ac.uk

DOI: https://doi.org/10.1090/bproc/18
Keywords: $T(b)$ theorem, $T(1)$ theorem, Calder\'on-Zygmund operator, bilinear operator
Received by editor(s): February 8, 2015
Published electronically: October 9, 2015
Communicated by: Alexander Iosevich
Article copyright: © Copyright 2015 by the author under Creative Commons Attribution 3.0 License (CC BY 3.0)

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