estimates for pseudodifferential operators
-boundedness for pseudodifferential operators with non-smooth symbols and applications
Starting from a general formulation of the characterization by dyadic crowns of Sobolev spaces, the authors give a result of continuity for pseudodifferential operators whose symbol a(x,ξ) is non smooth with respect to x and whose derivatives with respect to ξ have a decay of order ρ with . The algebra property for some classes of weighted Sobolev spaces is proved and an application to multi - quasi - elliptic semilinear equations is given.
Lévy processes, pseudo-differential operators and Dirichlet forms in the Heisenberg group
Littlewood-Paley theory and ϵ-families of operators
Local Riesz transform characterization of local Hardy spaces