메뉴 건너뛰기




Volumn 359, Issue 7, 2007, Pages 3085-3097

Nash type inequalities for fractional powers of non-negative self-adjoint operators

Author keywords

Dirichlet form; Fractional powers of operators; Logarithmic sobolev inequality; Nash inequality; Semigroup of operators; Ultracontractivity property

Indexed keywords


EID: 39949084937     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-07-04020-2     Document Type: Article
Times cited : (39)

References (13)
  • 1
    • 0001318726 scopus 로고
    • Sobolev inequalities in disguise
    • [BCLS] MR1386760 (97c:46039)
    • [BCLS] D. Bakry, T. Coulhon, M. Ledoux and L. Saloff-Coste, Sobolev inequalities in disguise. Indiana Univ. Math.J. 44 No.4 (1995), 1033-1074. MR1386760 (97c:46039)
    • (1995) Indiana Univ. Math.J. , vol.44 , Issue.4 , pp. 1033-1074
    • Bakry, D.1    Coulhon, T.2    Ledoux, M.3    Saloff-Coste, L.4
  • 2
    • 0001787687 scopus 로고
    • Symmetric stable semigroups on the infinite dimensional torus
    • [B] MR1339813 (96h:60123)
    • [B] A.D. Bendikov, Symmetric stable semigroups on the infinite dimensional torus. Expo. Math. 13 (1995), 39-80. MR1339813 (96h:60123)
    • (1995) Expo. Math. , vol.13 , pp. 39-80
    • Bendikov, A.D.1
  • 3
    • 0034364413 scopus 로고    scopus 로고
    • On-and off-diagonal heat kernel behaviors on certain infinite dimensional local dirichlet spaces
    • [BSC] MR1797661 (2002b:31012)
    • [BSC] A.D. Bendikov and L. Saloff-Coste, On-and off-diagonal heat kernel behaviors on certain infinite dimensional local Dirichlet spaces. Amer. J. Math. 122 (2000), 1205-1263. MR1797661 (2002b:31012)
    • (2000) Amer. J. Math. , vol.122 , pp. 1205-1263
    • Bendikov, A.D.1    Saloff-Coste, L.2
  • 4
    • 0003352027 scopus 로고
    • Potential theory on locally compact abelian groups
    • [BF] Springer-Verlag, Berlin-Heidelberg-New York, MR0481057 (58:1204)
    • [BF] Ch. Berg, G. Forst, Potential theory on locally compact Abelian groups. Ergeb. der Math. und ihren Grenzgeb. 94, Springer-Verlag, Berlin-Heidelberg-New York, 1975. MR0481057 (58:1204)
    • (1975) Ergeb. der Math. und ihren Grenzgeb. , vol.94
    • Berg, Ch.1    Forst, G.2
  • 5
    • 0003571205 scopus 로고    scopus 로고
    • [BGT] Cambridge University Press. Encyclopedia of Mathematics and its applications. Edited by G.-C.Rota. MR0898871 (88i:26004)
    • [BGT] N.H. Bingham, C.M. Goldie and J.M. Teugels, Regular variation. Cambridge University Press. Encyclopedia of Mathematics and its applications. Vol.27. Edited by G.-C.Rota. MR0898871 (88i:26004)
    • Regular Variation , vol.27
    • Bingham, N.H.1    Goldie, C.M.2    Teugels, J.M.3
  • 7
    • 0030295841 scopus 로고    scopus 로고
    • Ultracontractivity and Nash type inequalities
    • DOI 10.1006/jfan.1996.0140
    • [C] T. Coulhon, Ultracontractivity and Nash type inequalities. J. Funct. Anal. 141 (1996), p. 510-539. MR1418518 (97j:47055) (Pubitemid 126163381)
    • (1996) Journal of Functional Analysis , vol.141 , Issue.2 , pp. 510-539
    • Coulhon, T.1
  • 11
    • 0004120305 scopus 로고
    • [He] Ergeb. der Math. und ihren Grenzgeb. Springer-Verlag, Berlin-Heidelberg-New York, MR0501241 (58:18648)
    • [He] H. Heyer, Probability Measures on Locally Compact Groups. Ergeb. der Math. und ihren Grenzgeb. 94, Springer-Verlag, Berlin-Heidelberg-New York, 1977. MR0501241 (58:18648)
    • (1977) Probability Measures on Locally Compact Groups , vol.94
    • Heyer, H.1
  • 13
    • 0003245748 scopus 로고
    • One-dimensional stable distributions
    • [Z] AMS, MR0854867 (87k:60002)
    • [Z] V.M. Zolotarev, One-dimensional stable distributions. Transl. of Math. Monographs, AMS, Vol 65, 1986. MR0854867 (87k:60002)
    • (1986) Transl. of Math. Monographs , vol.65
    • Zolotarev, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.