Iterated Fine Limits and Iterated Nontangential Limits

Abstract

ABSTRACT. Let ÇI,, k = 1 to zz, be harmonic spaces of Brelot and u, > 0 harmonic functions on fl,.

Measurability of functions in product spaces

“…(See also [3].) In a recent paper, while considering the iterated fine limits of holomorphic functions [1], we had to prove the measurability of functions of the form/ as above, but with values in a separable metric space where neither X nor Y is necessarily locally compact. Our proof in this case carries over to more general situations.…”