Abstract
We obtail optional continuity in Sobolev for the Fourior integral operators associated to singular canonical relations, when one of the two projection is a Whitney fold. The regularity depends on the type, K, of the projuction from the canonical relation (k=1 for whitney fold). We prove that one loses of a derivative in the regularity properties. The proof is based on the L2 estimates for oscillatory inntegral operators
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