... norm xα Aαx for x ∈ DAα,2 Tt : X → DAα for t>0,3 AαTtx TtAαx for x ∈ DAα and t ≥ 0,4 for every t>0, AαTt is bounded on X and there exists Cα> ... ∞.4.42 For each t ∈ 0, 1, vt, · is continuous, and for each x ∈ R, v·,x is measurable and, there exists a function a· ∈ L10, 1, R such that |vt, x|≤at|x| for a.e.t ∈ 0, 1 and ... like t o thank the referees for helpful comments and suggestions. J. Liangacknowledges support from the NSF of China 10771202 and the Specialized Research Fund for the Doctoral Program of...