Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces

The results presented provide information on the behavior near x(1) = 0 for fixed t > 0 in the sense of L-p-spaces with weights for functions u(t) = u (t, x(1), x ') (x(1) greater than or equal to 0, x ' is an element of Rd-1, t greater than or equal to 0) satisfying stochastic partial differential e quations of type du(t) = (Deltau(t) + f(t)) dt + g(k)(t) dw(t)(k) with zero boundary condition on x(1) = 0. (C) 2001 Academic Press.