Multilinear Embedding and Hardy's Inequality

Abstract

Multilinear trace restriction inequalities are obtained for Hardy's inequality. More generally, detailed development is given for new multilinear forms for Young's convolution inequality, and a new proof for the multilinear Hardy-Littlewood-Sobolev inequality, and its realization on hyperbolic space.

21 pages, AMSLaTeX

Cited by in corpus (3)

• On the Multilinear Fractional Integral Operators with Correlation Kernels
• Uniqueness of solutions to the 3D quintic Gross-Pitaevskii Hierarchy
• Functionals for Multilinear Fractional Embedding