Kato's Inequality for Magnetic Relativistic Schr\"odinger Operators
  Kato's inequality is shown for the magnetic relativistic Schr\"odinger operator $H_{A,m}$ defined as the operator theoretical {\it square root} of the selfadjoint, magnetic nonrelativistic Schr\"odinger operator $(-i\nabla-A(x))^2+m^2$ with an $L^{2}_{\text{\rm loc}}$ vector potential $A(x)$. 
Fumio Hiroshima, Takashi Ichinose, J\'ozsef L\H{o}rinczi
math.AP