An FIO calculus for marine seismic imaging, II: Sobolev estimates

الأصل · EN

We establish sharp L²-Sobolev estimates for classes of pseudodifferential operators with singular symbols whose non-pseudodifferential (Fourier integral operator) parts exhibit two-sided fold singularities. The operators considered include both singular integral operators along curves in R² with simple inflection points and normal operators arising in linearized seismic imaging in the presence of fold caustics.