J. Sahbani, RESOLVENT ESTIMATES FOR SOME CLASSES OF PSEUDODIFFERENTIAL-OPERATORS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(1), 1997, pp. 117-122
We study the continuity properties of the boundary Values of the resol
vent of self-adjoint operators of the form H = H-0 + V, where H-0 is a
pseudo-differential operator, while V is an operator that tends to ze
ro at infinity in some sense. In particular, relativistic and non-rela
tivistic Schrodinger operators, Dirac operators, and Stark effect Hami
ltonian are included. Our results are optimal on the Holder-Zygmund sc
ale.