A 𝑇(𝑏) theorem on product spaces

Ou, Yumeng

doi:10.1090/S0002-9947-2015-06246-1

A $T(b)$ theorem on product spaces
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by Yumeng Ou PDF

Trans. Amer. Math. Soc. 367 (2015), 6159-6197 Request permission

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.

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