메뉴 건너뛰기




Volumn 133, Issue 3, 2005, Pages 735-743

A general rearrangement inequality

Author keywords

Integral inequality; Rearrangement; Symmetrization

Indexed keywords


EID: 14644445070     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07729-9     Document Type: Article
Times cited : (12)

References (16)
  • 1
    • 84968521876 scopus 로고
    • Symmetric decreasing rearrangement is sometimes continuous
    • MR1002633 (90f:49038)
    • F. J. Almgren, Jr. and E. H. Lieb. Symmetric decreasing rearrangement is sometimes continuous. J. Amer. Math. Soc., 2(4):683-773, 1989. MR1002633 (90f:49038)
    • (1989) J. Amer. Math. Soc. , vol.2 , Issue.4 , pp. 683-773
    • Almgren Jr., F.J.1    Lieb, E.H.2
  • 2
    • 84972558536 scopus 로고
    • Spherical rearrangements, subharmonic functions, and *-functions in n-space
    • MR0402083 (53:5906)
    • A. Baernstein, II and B. A. Taylor. Spherical rearrangements, subharmonic functions, and *-functions in n-space. Duke Math. J., 43(2):245-268, 1976. MR0402083 (53:5906)
    • (1976) Duke Math. J. , vol.43 , Issue.2 , pp. 245-268
    • Baernstein II, A.1    Taylor, B.A.2
  • 3
    • 0002572462 scopus 로고
    • A unified approach to symmetrization
    • eds. A. Alvino et al, Symposia Mathematica, Cambridge Univ.Press, MR1297773 (96e:26019)
    • A. Baernstein II. A unified approach to symmetrization. Partial Differential Equations of Elliptic Type, eds. A. Alvino et al, Symposia Mathematica, Cambridge Univ.Press, 35:47-91, 1995. MR1297773 (96e:26019)
    • (1995) Partial Differential Equations of Elliptic Type , vol.35 , pp. 47-91
    • Baernstein II, A.1
  • 5
    • 0001378271 scopus 로고
    • A general rearrangement inequality for multiple integrals
    • MR0346109 (49:10835)
    • H. J. Brascamp, E. H. Lieb, and J. M. Luttinger. A general rearrangement inequality for multiple integrals. J. Funct. Anal., 17:227-237, 1974. MR0346109 (49:10835)
    • (1974) J. Funct. Anal. , vol.17 , pp. 227-237
    • Brascamp, H.J.1    Lieb, E.H.2    Luttinger, J.M.3
  • 6
    • 0242423155 scopus 로고    scopus 로고
    • A general rearrangement inequality à la Hardy-Littlewood
    • MR1784980 (2001d:26046)
    • F. Brock. A general rearrangement inequality à la Hardy-Littlewood. J. Inequal. Appl., 5(4):309-320, 2000. MR1784980 (2001d:26046)
    • (2000) J. Inequal. Appl. , vol.5 , Issue.4 , pp. 309-320
    • Brock, F.1
  • 7
    • 23044519317 scopus 로고    scopus 로고
    • An approach to symmetrization via polarization
    • MR1695019 (2001a:26014)
    • F. Brock and A. Y. Solynin. An approach to symmetrization via polarization. Trans. Amer. Math. Soc., 352(4):1759-1796, 2000. MR1695019 (2001a:26014)
    • (2000) Trans. Amer. Math. Soc. , vol.352 , Issue.4 , pp. 1759-1796
    • Brock, F.1    Solynin, A.Y.2
  • 8
    • 0035624506 scopus 로고    scopus 로고
    • Comparison theorems for exit times
    • MR1866798 (2002h:60168)
    • A. Burchard and M. Schmuckenschläger. Comparison theorems for exit times. Geom. Funct. Anal., 11(4):651-692, 2001. MR1866798 (2002h:60168)
    • (2001) Geom. Funct. Anal. , vol.11 , Issue.4 , pp. 651-692
    • Burchard, A.1    Schmuckenschläger, M.2
  • 9
    • 0001593851 scopus 로고
    • Estimates for the k-plane transform
    • MR0763948 (86k:44004)
    • M. Christ. Estimates for the k-plane transform. Indiana Univ. Math. J., 33(6):891-910, 1984. MR0763948 (86k:44004)
    • (1984) Indiana Univ. Math. J. , vol.33 , Issue.6 , pp. 891-910
    • Christ, M.1
  • 12
    • 0003769203 scopus 로고
    • Pure and Applied Mathematics. John Wiley & Sons Inc., New York, Modern techniques and their applications, A Wiley-Interscience Publication. MR0767633 (86k:28001)
    • G. B. Folland. Real analysis. Pure and Applied Mathematics. John Wiley & Sons Inc., New York, 1984. Modern techniques and their applications, A Wiley-Interscience Publication. MR0767633 (86k:28001)
    • (1984) Real Analysis
    • Folland, G.B.1
  • 13
    • 0003543733 scopus 로고
    • Cambridge Mathematical Library. Cambridge University Press, Cambridge, Reprint of the 1952 edition. MR0944909 (89d:26016)
    • G. H. Hardy, J. E. Littlewood, and G. Pólya. Inequalities. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1988. Reprint of the 1952 edition. MR0944909 (89d:26016)
    • (1988) Inequalities
    • Hardy, G.H.1    Littlewood, J.E.2    Pólya, G.3
  • 14
    • 0037106757 scopus 로고    scopus 로고
    • Sharp inequalities for functional integrals and traces of conformally invariant operators
    • MR1924571 (2004f:58035)
    • C. Morpurgo. Sharp inequalities for functional integrals and traces of conformally invariant operators. Duke Math. J., 114(3):477-554, 2002. MR1924571 (2004f:58035)
    • (2002) Duke Math. J. , vol.114 , Issue.3 , pp. 477-554
    • Morpurgo, C.1
  • 15
    • 0000190919 scopus 로고
    • The isoperimetric inequality
    • MR0500557 (58:18161)
    • R. Osserman. The isoperimetric inequality. Bull. Amer. Math. Soc., 84 (6):1182-1238, 1978. MR0500557 (58:18161)
    • (1978) Bull. Amer. Math. Soc. , vol.84 , Issue.6 , pp. 1182-1238
    • Osserman, R.1
  • 16
    • 0037616734 scopus 로고
    • Maximum and minimum sets for some geometric mean values
    • MR1046328 (91d:60028)
    • R. E. Pfiefer. Maximum and minimum sets for some geometric mean values. J. Theoret. Probab., 3(2):169-179, 1990. MR1046328 (91d:60028)
    • (1990) J. Theoret. Probab. , vol.3 , Issue.2 , pp. 169-179
    • Pfiefer, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.