An extrapolation of operator-valued dyadic paraproducts
An extrapolation of operator-valued dyadic paraproducts
We consider the dyadic paraproducts ฯฯ on ๐ associated with an โณ-valued function ฯ. Here ๐ is the unit circle and โณ is a tracial von Neumann algebra. We prove that their boundedness on Lp(๐, Lp(โณ)) for some 1 < p < โ implies their boundedness on Lp(๐, Lp(โณ)) for โฆ