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Tb theorem on product spaces

Published online by Cambridge University Press:  28 March 2016

YONGSHENG HAN ,
MING-YI LEE  and
CHIN-CHENG LIN
YONGSHENG HAN
Affiliation:
Department of Mathematics, Auburn University, Auburn, Alabama 36849-5310, U.S.A. e-mail: hanyong@mail.auburn.edu
MING-YI LEE
Affiliation:
Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China. e-mail: mylee@math.ncu.edu.tw, clin@math.ncu.edu.tw
CHIN-CHENG LIN
Affiliation:
Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China. e-mail: mylee@math.ncu.edu.tw, clin@math.ncu.edu.tw
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Abstract

In this paper, we prove a Tb theorem on product spaces $\mathbb{R}$n × $\mathbb{R}$m, where b(x1, x2) = b1(x1)b2(x2), b1 and b2 are para-accretive functions on $\mathbb{R}$n and $\mathbb{R}$m, respectively.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 1 , July 2016 , pp. 117 - 141
Copyright
Copyright © Cambridge Philosophical Society 2016 

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