Stability estimates in tensor tomography

We study the X-ray transform I of symmetric tensor fields on a smooth convex bounded domain Ω ⊂ ℝⁿ. The main result is the stability estimate (Formula Presented), where ^sf is the solenoidal part of the tensor field f. The proof is based on a comparison of the Dirichlet integrals for the exterior and interior Dirichlet problems and on a generalization of the Korn inequality to symmetric tensor fields of arbitrary rank.