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.
Coifman and Yves Meyer.Au del` a des op´ erateurs pseudo-diff´ erentiels, volume 57 ofAst´ erisque
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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.