Variants of the Coifman-Meyer multilinear multiplier theorem are established, including cases outside existing theories, to support distributional definitions of the Jacobian and Hessian determinants.
Le.Analysis of Monge-Amp` ere equations, volume 240 ofGraduate Studies in Mathematics
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Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant
Variants of the Coifman-Meyer multilinear multiplier theorem are established, including cases outside existing theories, to support distributional definitions of the Jacobian and Hessian determinants.