Brascamp-Lieb inequalities are extended to upper box, packing and Assouad dimensions of fractals via projections, yielding new exceptional-set estimates and sharp bounds on constrained sumsets.
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Brascamp--Lieb inequalities for fractal dimensions
Brascamp-Lieb inequalities are extended to upper box, packing and Assouad dimensions of fractals via projections, yielding new exceptional-set estimates and sharp bounds on constrained sumsets.