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.
Kenig and Elias M
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Compactness of bilinear singular integral operators holds under mild kernel regularity, with the critical exponent matching the best known condition from the classical bilinear T1 theorem, plus a new weak compactness property.
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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.
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Compactness of bilinear singular integral with mild kernel regularity
Compactness of bilinear singular integral operators holds under mild kernel regularity, with the critical exponent matching the best known condition from the classical bilinear T1 theorem, plus a new weak compactness property.