메뉴 건너뛰기




Volumn 19, Issue 2, 2009, Pages 373-405

Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities

Author keywords

Brascamp Lieb inequalities; Entropy

Indexed keywords


EID: 72749105872     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-009-0001-y     Document Type: Article
Times cited : (94)

References (13)
  • 1
    • 18144408548 scopus 로고    scopus 로고
    • Convex geometry and functional analysis
    • (W. Johnson, J. Lindenstrauss, eds.), North-Holland, Amsterdam
    • K. Ball, Convex geometry and functional analysis, in Handbook of the Geometry of Banach Spaces, Vol. I, (W. Johnson, J. Lindenstrauss, eds.), North-Holland, Amsterdam (2001), 161-194.
    • (2001) Handbook of the Geometry of Banach Spaces , vol.I , pp. 161-194
    • Ball, K.1
  • 2
    • 0032350790 scopus 로고    scopus 로고
    • On a reverse form of the Brascamp-Lieb inequality
    • Barthe F.: On a reverse form of the Brascamp-Lieb inequality. Invent. Math. 134(2), 235-361 (1998).
    • (1998) Invent. Math. , vol.134 , Issue.2 , pp. 235-361
    • Barthe, F.1
  • 3
    • 58149261410 scopus 로고    scopus 로고
    • Inverse Brascamp-Lieb inequalities along the heat equation
    • (V. Milman, G. Schechtman, eds.), Springer Lecture Notes in Mathematics 1850 (2004)
    • F. Barthe, D. Cordero-Erausquin, Inverse Brascamp-Lieb inequalities along the heat equation, Geometric Aspects of Functional Analysis (2002-2003) (V. Milman, G. Schechtman, eds.), Springer Lecture Notes in Mathematics 1850 (2004), 65-71.
    • (2002) Geometric Aspects of Functional Analysi , pp. 65-71
    • Barthe, F.1    Cordero-Erausquin, D.2
  • 4
    • 33746359657 scopus 로고    scopus 로고
    • Entropy of spherical marginals and related inequalities
    • Barthe F., Cordero-Erausquin D., Maurey B.: Entropy of spherical marginals and related inequalities. J. Math. Pures Appl. 86(2), 89-99 (2006).
    • (2006) J. Math. Pures Appl. , vol.86 , Issue.2 , pp. 89-99
    • Barthe, F.1    Cordero-Erausquin, D.2    Maurey, B.3
  • 6
    • 39449135268 scopus 로고    scopus 로고
    • The Brascamp-Lieb inequalities: Finiteness, structure, and extremals, GAFA
    • Bennett J., Carbery A., Christ M., Tao T.: The Brascamp-Lieb inequalities: finiteness, structure, and extremals, GAFA. Geom. funct. anal. 17(5), 1343-1415 (2007).
    • (2007) Geom. Funct. Anal. , vol.17 , Issue.5 , pp. 1343-1415
    • Bennett, J.1    Carbery, A.2    Christ, M.3    Tao, T.4
  • 7
    • 77956836071 scopus 로고    scopus 로고
    • Finite bounds for Holder- Brascamp-Lieb multilinear inequalities
    • to appear
    • J. Bennett, A. Carbery, M. Christ, T. Tao, Finite bounds for Holder- Brascamp-Lieb multilinear inequalities, Math. Res. Lett, to appear.
    • Math. Res. Lett
    • Bennett, J.1    Carbery, A.2    Christ, M.3    Tao, T.4
  • 8
    • 0034383908 scopus 로고    scopus 로고
    • Diffusion equations and geometric inequalities
    • Borell C.: Diffusion equations and geometric inequalities. Potential Anal. 12(1), 49-71 (2000).
    • (2000) Potential Anal. , vol.12 , Issue.1 , pp. 49-71
    • Borell, C.1
  • 9
    • 0001126703 scopus 로고
    • The best constant in Young's inequality and its generalization to more than three functions
    • Brascamp H., Lieb E.: The best constant in Young's inequality and its generalization to more than three functions. Advances in Math. 20(2), 151-173 (1976).
    • (1976) Advances in Math , vol.20 , Issue.2 , pp. 151-173
    • Brascamp, H.1    Lieb, E.2
  • 10
    • 0000273265 scopus 로고
    • Superadditivity of Fisher information and logarithmic Sobolev inequalities
    • Carlen E.: Superadditivity of Fisher information and logarithmic Sobolev inequalities. J. Funct. Anal. 101, 194-211 (1991).
    • (1991) J. Funct. Anal. , vol.101 , pp. 194-211
    • Carlen, E.1
  • 11
    • 84867955093 scopus 로고    scopus 로고
    • A sharp form of Young's inequality on SN and related entropy inequalities
    • Carlen E., Loss M., Lieb E.: A sharp form of Young's inequality on SN and related entropy inequalities. Jour. Geom. Anal. 14, 487-520 (2004).
    • (2004) Jour. Geom. Anal. , vol.14 , pp. 487-520
    • Carlen, E.1    Loss, M.2    Lieb, E.3
  • 12
    • 47749119898 scopus 로고    scopus 로고
    • A inequality of Hadamard type for permanents
    • Carlen E., Loss M., Lieb E.: A inequality of Hadamard type for permanents. Meth. and Appl. of Anal. 13(1), 1-17 (2006).
    • (2006) Meth. And Appl. Of Anal. , vol.13 , Issue.1 , pp. 1-17
    • Carlen, E.1    Loss, M.2    Lieb, E.3
  • 13
    • 57849114460 scopus 로고    scopus 로고
    • Optimisers for the Brascamp-Lieb inequality
    • Valdimarsson S. I.: Optimisers for the Brascamp-Lieb inequality. Israel J. Math. 168, 253-274 (2008).
    • (2008) Israel J. Math. , vol.168 , pp. 253-274
    • Valdimarsson, S.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.