caa a22 4500 60546099X CHVBK 20210128100241.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10114-015-4321-6 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4321-6 Beckner William Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, 78712-0257, Austin, TX, USA aut Functionals for multilinear fractional embedding [Elektronische Daten] [William Beckner] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2014 Fractional embedding nationallicence Hardy-Littlewood-Sobolev inequality nationallicence diagonal trace restriction nationallicence Coulomb interaction nationallicence Pitt's inequality nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/1(2015-01-01), 1-28 1439-8516 31:1<1 2015 31 10114 https://doi.org/10.1007/s10114-015-4321-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4321-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Beckner William Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, 78712-0257, Austin, TX, USA aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/1(2015-01-01), 1-28 1439-8516 31:1<1 2015 31 10114