An Extrapolation of Operator Valued Dyadic Paraproducts

Details An Extrapolation of Operator Valued Dyadic Paraproducts An Extrapolation of Operator Valued Dyadic Paraproducts

2007-09-26

arxiv.org/abs/0709.4229v1

Mathematics

Functional Analysis

Scientific paper

We consider the dyadic paraproducts $\pi_\f$ on $\T$ associated with an $\M$-valued function $\f.$ Here $\T$ is the unit circle and $\M$ is a tracial von Neumann algebra. We prove that their boundedness on $L^p(\T,L^p(\M))$ for some $1

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