Conservativeness of diffusion processes with drift

We show the conservativeness of the Girsanov transformed diffusion process by drift b is an element of L-p(R-d --> R-d) with p greater than or equal to 4/(2- root2delta(\b\(2))/lambda) or p > 4d=(d+ 2), or p = 2 if \b\(2) is of the Hardy class with sufficiently small coefficient of energy delta(\b\(2)) < λ/2. Here λ > 0 is the lower bound of the symmetric measurable matrix-valued function a(x) := (a(i;) j (x))(i; j) appearing in the given Dirichlet form. In particular, our result improves the conservativeness of the transformed process by b is an element of L-d(R-d --> R-d) when d greater than or equal to 3.