Hausdorff measure of nodal sets of analytic Steklov eigenfunctions

Let (Omega, g) be a real analytic Riemannian manifold with real analytic boundary partial derivative Omega. Let psi(lambda) be an eigenfunction of the Dirichlet-to-Neumann operator Lambda of (Omega, g, partial derivative Omega) of eigenvalue lambda. Let N-lambda be its nodal set. Then, there exists a constant C > 0 depending only on (Omega, g, partial derivative Omega) so that Hn-2(N-lambda) <= C lambda. This proves a conjecture of F. H. Lin and K. Bellova.