MULTIPLIERS AND TENSOR PRODUCTS OF WEIGHTED L~p-SPACES

1 IntroductionLet G be a locally compact uninrodular gloup witI1 Haar nseasure dx. In this paperCo (G) deuotes the spare of colltillou8, comPlex-valued functiolls oll G which vanish at illfillityand Cc (G) de11otes the 8pace of all contiuuous, complexvaued function8 oll G wit11 colllpactsllpport. Tlle left (right) trall8latiou operators Ly (%) are giveu byL.f(x) = f (y--'x), (Ruf(x) = f(xy)) for x,y E G.For a Beurliug weight function on G (ffeiter, t10]) i.e. a conti11uou8 f1lllction w …