Abstract. Recently there has been some development of limit theory for ``nonisotropic" random fields, under mixing conditions in which the mixing rates are (in a nontrivial way) allowed to differ in the different coordinate directions. Here a class of strictly stationary random fields is constructed in order to ``separate'' various possible mixing rates for certain mixing conditions on such nonisotropic random fields.

AMS Subject Classification (1991): 60G10, 60G60

Received February 18, 1999, and in final form August 5, 1999. (Registered under 2715/2009.)