Multilinear Singular Integral Forms of Christ-Journe Type

· ·
· American Mathematical Soc.
Ebook
142
Pages
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About this ebook

We introduce a class of multilinear singular integral forms which generalize the Christ-Journe multilinear forms. The research is partially motivated by an approach to Bressan’s problem on incompressible mixing flows. A key aspect of the theory is that the class of operators is closed under adjoints (i.e. the class of multilinear forms is closed under permutations of the entries). This, together with an interpolation, allows us to reduce the boundedness.

About the author

Andreas Seeger: University of Wisconsin, Madison, Wisconsin,
Charles K. Smart: University of Chicago, Chicago, Illinois,
Brian Street: University of Wisconsin, Madison, Wisconsin

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