%0 Journal Article %T An FIO calculus for marine seismic imaging, II: Sobolev estimates %A Raluca Felea %A Allan Greenleaf %A Malabika Pramanik %J Mathematics %D 2009 %I arXiv %X We establish sharp $L^2$-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 $R^2$ with simple inflection points and normal operators arising in linearized seismic imaging in the presence of fold caustics. %U http://arxiv.org/abs/0903.1780v2