Functionals for multilinear fractional embedding
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| 003 | CHVBK | ||
| 005 | 20210128100241.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-4321-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4321-6 | ||
| 100 | 1 | |a Beckner |D William |u Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, 78712-0257, Austin, TX, USA |4 aut | |
| 245 | 1 | 0 | |a Functionals for multilinear fractional embedding |h [Elektronische Daten] |c [William Beckner] |
| 520 | 3 | |a 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. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Fractional embedding |2 nationallicence | |
| 690 | 7 | |a Hardy-Littlewood-Sobolev inequality |2 nationallicence | |
| 690 | 7 | |a diagonal trace restriction |2 nationallicence | |
| 690 | 7 | |a Coulomb interaction |2 nationallicence | |
| 690 | 7 | |a Pitt's inequality |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/1(2015-01-01), 1-28 |x 1439-8516 |q 31:1<1 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4321-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4321-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Beckner |D William |u Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, 78712-0257, Austin, TX, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/1(2015-01-01), 1-28 |x 1439-8516 |q 31:1<1 |1 2015 |2 31 |o 10114 | ||