메뉴 건너뛰기




Volumn 125, Issue 11, 1997, Pages 3339-3345

A logarithmic Sobolev inequality on the real line

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21944454732     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03979-8     Document Type: Article
Times cited : (7)

References (13)
  • 1
    • 0001362443 scopus 로고
    • Hypercontactivite de semi-grouptes de diffusion
    • MR 86f:60097
    • D. Bakry and M. Emery, 'Hypercontactivite de semi-grouptes de diffusion', C. R. Acad. Sc. Paris 299 (1984) 775-778. MR 86f:60097
    • (1984) C. R. Acad. Sc. Paris , vol.299 , pp. 775-778
    • Bakry, D.1    Emery, M.2
  • 2
    • 0000898117 scopus 로고
    • Inequalities in Fourier analysis
    • MR 52:6317
    • W. Beckner, 'Inequalities in Fourier analysis', Ann. of Math. (2) 102 (1975), 159-182. MR 52:6317
    • (1975) Ann. of Math. (2) , vol.102 , pp. 159-182
    • Beckner, W.1
  • 4
    • 0001491241 scopus 로고
    • Pitt's inequality and the uncertainty principle
    • MR 95g:42021
    • W. Beckner, 'Pitt's inequality and the uncertainty principle', Proc. Amer. Math. Soc. 123 (1995) 1897-1905. MR 95g:42021
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 1897-1905
    • Beckner, W.1
  • 6
    • 0001429116 scopus 로고
    • Logarithmic Sobolev inequalities
    • MR 54:8263
    • L. Gross, 'Logarithmic Sobolev inequalities', Amer. J. Math. 97 (1975) 1061-1083. MR 54:8263
    • (1975) Amer. J. Math. , vol.97 , pp. 1061-1083
    • Gross, L.1
  • 7
    • 0002442977 scopus 로고
    • On hypercontractivity for multipliers on orthogonal polynomials
    • MR 85g:47070
    • S. Janson, 'On hypercontractivity for multipliers on orthogonal polynomials', Ark. Mat. 21 (1983) 97-110. MR 85g:47070
    • (1983) Ark. Mat. , vol.21 , pp. 97-110
    • Janson, S.1
  • 8
    • 0000170287 scopus 로고
    • Hypercontractivity for the heat semigroup for ultraspherical polynomials on the n-sphere
    • MR 83m:47036
    • C. W. Mueller and F. B. Weissler, 'Hypercontractivity for the heat semigroup for ultraspherical polynomials on the n-sphere', J. Funct. Anal. 48 (1982) 252-283. MR 83m:47036
    • (1982) J. Funct. Anal. , vol.48 , pp. 252-283
    • Mueller, C.W.1    Weissler, F.B.2
  • 9
    • 0011603859 scopus 로고
    • Über Integralungleichunger zwischen einer Funktion und ihrer Ableitung
    • B. V. Sz. Nagy, 'Über Integralungleichunger zwischen einer Funktion und ihrer Ableitung', Acta Sei. Math. (Szeged) 10 (1941) 64-74.
    • (1941) Acta Sei. Math. (Szeged) , vol.10 , pp. 64-74
    • Nagy, B.V.1
  • 10
    • 49549166117 scopus 로고
    • The free Markov field
    • MR 49:8556
    • E. Nelson, 'The free Markov field', J. Funct. Anal. 12 (1973) 211-227. MR 49:8556
    • (1973) J. Funct. Anal. , vol.12 , pp. 211-227
    • Nelson, E.1
  • 11
    • 0039141449 scopus 로고
    • An elementary proof of Gross' logarithmic Sobolev inequality
    • MR 94g:26028
    • J. M. Pearson, 'An elementary proof of Gross' logarithmic Sobolev inequality', Bull. London Math. Soc. 25 (1993) 463-466. MR 94g:26028
    • (1993) Bull. London Math. Soc. , vol.25 , pp. 463-466
    • Pearson, J.M.1
  • 12
    • 0041473959 scopus 로고
    • Nonlinear Schrodinger equations and sharp interpolation estimates
    • MR 84d:35140
    • M. I. Weinstein, 'Nonlinear Schrodinger equations and sharp interpolation estimates', Comm. Math. Physics 87 (1982/83) 567-576. MR 84d:35140
    • (1982) Comm. Math. Physics , vol.87 , pp. 567-576
    • Weinstein, M.I.1
  • 13
    • 84968502357 scopus 로고
    • Logarithmic Sobolev inequalities for the heat diffusion semigroup
    • MR 80b:47057
    • F. B. Weissler, 'Logarithmic Sobolev inequalities for the heat diffusion semigroup', Trans. Amer. Math. Soc. 237 (1978) 255-269. MR 80b:47057
    • (1978) Trans. Amer. Math. Soc. , vol.237 , pp. 255-269
    • Weissler, F.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.