Abstract. A variant of multiparameter Calderón--Zygmund theory combined with interpolation arguments is used to prove new results on homogeneous Fourier multipliers.

AMS Subject Classification (1991): 42B20, 42B15, 46B70

Keyword(s): Multiparameter Calderón--Zygmund theory, Analytic families of operators, Homogeneous multipliers

Received March 8, 1994. (Registered under 5620/2009.)