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Volumn 127, Issue 12, 1999, Pages 3565-3572

An uncertainty inequality involving L1 norms

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EID: 22844454433     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-05022-4     Document Type: Article
Times cited : (21)

References (10)
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    • Beckner, W.1
  • 2
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    • Sharp constant in Nash's inequality
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    • E.A. Carlen and M. Loss, Sharp constant in Nash's inequality, Int. Mat. Res. Notices (1993), 301-305. MR 95f:26022
    • (1993) Int. Mat. Res. Notices , pp. 301-305
    • Carlen, E.A.1    Loss, M.2
  • 3
    • 21444431770 scopus 로고    scopus 로고
    • On the uncertainty principle for positive definite densities
    • MR 98c:60014
    • I. Dreier, On the uncertainty principle for positive definite densities, Zeitschrift für Analysis und ihre Anwendungen 15 (1996), 1015-1023. MR 98c:60014
    • (1996) Zeitschrift Für Analysis und ihre Anwendungen , vol.15 , pp. 1015-1023
    • Dreier, I.1
  • 5
    • 3843136345 scopus 로고    scopus 로고
    • On the uncertainty relation for positive definite probability densities
    • to appear
    • [G] T. Gneiting , On the uncertainty relation for positive definite probability densities, to appear in Statistics.
    • Statistics
    • Gneiting, T.1
  • 6
    • 0000298073 scopus 로고
    • Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
    • MR 86i:42010
    • E.H. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities, Ann. of Math. 118 (1983), 349-374. MR 86i:42010
    • (1983) Ann. of Math. , vol.118 , pp. 349-374
    • Lieb, E.H.1
  • 7
    • 0003936307 scopus 로고    scopus 로고
    • Analysis
    • American Mathematical Society, Providence, Rhode Island, MR 98b:00004
    • [LL] E.H. Lieb and M. Loss, Analysis, Graduate Studies in Mathematics v. 14, American Mathematical Society, Providence, Rhode Island, 1997. MR 98b:00004
    • (1997) Graduate Studies in Mathematics V. 14
    • Lieb, E.H.1    Loss, M.2
  • 9
    • 0011603859 scopus 로고
    • Über integralungleichungen zwischen einer funktion und ihrer ableitung
    • MR 2:351b
    • [N] B.Sz. Nagy, Über integralungleichungen zwischen einer funktion und ihrer ableitung, Acta Sci. Math. (Szeged) 10 (1941), 64-74. MR 2:351b
    • (1941) Acta Sci. Math. (Szeged) , vol.10 , pp. 64-74
    • Nagy, B.S.1
  • 10
    • 0012421178 scopus 로고
    • Positive definite densities and probability distributions
    • MR 96h:60027
    • [R] H.J. Rossberg , Positive definite densities and probability distributions, Journal of Mathematical Sciences 76 (1995), 2181-2197. MR 96h:60027
    • (1995) Journal of Mathematical Sciences , vol.76 , pp. 2181-2197
    • Rossberg, H.J.1


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