Pseudodifferential operators with generalized symbols and regularity theory
Pseudodifferential operators with generalized symbols and regularity theory
We study pseudodierential operators with amplitudes a(x, ) depending on a singular parameter ! 0 with asymptotic properties measured by dierent scales. We prove, taking into account the asymptotic behavior for ! 0, refined versions of estimates for classical pseudodierential operators. We apply these estimates to nets of regularizations of …