Starting from a general formulation of the characterization by dyadic crowns of Sobolev spaces, the authors give a result of L^p 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 0<ρ≤1. The algebra property for some classes of weighted Sobolev spaces is proved and an application to multi - quasi - elliptic semilinear equations is given.
L^p-boundedness for pseudodifferential operators with non smooth symbols and applications
MORANDO, Alessandro
2005-01-01
Abstract
Starting from a general formulation of the characterization by dyadic crowns of Sobolev spaces, the authors give a result of L^p 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 0<ρ≤1. The algebra property for some classes of weighted Sobolev spaces is proved and an application to multi - quasi - elliptic semilinear equations is given.File in questo prodotto:
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