L-p-microlocal regularity for pseudodifferential operators of quasi-homogeneous type

The authors consider pseudodifferential operators whose symbols have decay at infinity of quasi-homogeneous type and study their behaviour on the wave front set of distributions in weighted Zygmund-Holder spaces and weighted Sobolev spaces in L-p-framework. Then microlocal properties for solutions to linear partial differential equations with coefficients in weighted Zygmund-Holder spaces are obtained.