Functionals for multilinear fractional embedding

By William Beckner. 2014

47 citations recorded by the source corpus.

A novel representation is developed as a measure for multilinear fractional embedding. Corresponding extensions are given for the Bourgain-Brezis-Mironescu theorem and Pitt’s inequality. New results are obtained for diagonal trace restriction on submanifolds as an application of the Hardy-Littlewood-Sobolev inequality. Smoothing estimates are used to provide new structural understanding for density functional theory, the Coulomb interaction energy and quantum mechanics of phase space. Intriguing connections are drawn that illustrate interplay among classical inequalities in Fourier analysis.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f750459d87d08a04ffc338c56dce20be769dd230

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Xiaolei Xiong
2. Quanhua Xu
3. Zhi Yin
4. Narcisse Randrianantoanina
5. Marius Junge
6. Joel A. Tropp

In Mathematical Physics

1. Xiaolei Xiong
2. Quanhua Xu
3. Zhi Yin
4. Marius Junge
5. Narcisse Randrianantoanina
6. Javier Parcet
7. Tao Mei
8. Joel A. Tropp

Citations in the corpus

• Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori (2015, background): “The study of this behavior is the subject of several recent publications in the classical setting; see, for instance, [4, 5, 38, 41, 74].”