Resumen de An extrapolation of operator-valued dyadic paraproducts

Tao Mei

• We consider the dyadic paraproducts �Î. on T associated with an M-valued function .. Here T is the unit circle and M is a tracial von Neumann algebra. We prove that their boundedness on Lp(T, Lp(M)) for some 1 < p < ��implies their boundedness on Lp(T, Lp(M)) for all 1 < p < �� provided that . is in an operator-valued BMO space. We also consider a modified version of dyadic paraproducts and their boundedness on Lp(T, Lp(M)).