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Communications on Pure and Applied Mathematics
Volumn 54, Issue 4, 2001, Pages 385-449
Asymptotically Optimally Doubling Measures and Reifenberg Flat Sets with Vanishing Constant
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EID: 0035586323     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0312(200104)54:4<385::AID-CPA1>3.0.CO;2-M     Document Type: Article
Times cited : (46)
References (11)
  • 1
    • 0031182532 scopus 로고    scopus 로고
    • On the structure of spaces with Ricci curvature bounded below. I
    • Cheeger, J.; Colding, T. H. On the structure of spaces with Ricci curvature bounded below. I. J. Differential Geom. 46 (1997), no. 3, 406-480.
    • (1997) J. Differential Geom. , vol.46 , Issue.3 , pp. 406-480
    • Cheeger, J.1    Colding, T.H.2
  • 2
    • 22844453615 scopus 로고    scopus 로고
    • Reifenberg flat metric spaces, snowballs, and embeddings
    • David, G.; Toro, T. Reifenberg flat metric spaces, snowballs, and embeddings. Math. Ann. 315 (1999), no. 4, 641-710.
    • (1999) Math. Ann. , vol.315 , Issue.4 , pp. 641-710
    • David, G.1    Toro, T.2
  • 3
    • 0000487058 scopus 로고    scopus 로고
    • Harmonic measure on locally flat domains
    • Kenig, C. E.; Toro, T. Harmonic measure on locally flat domains. Duke Math. J. 87 (1997), no. 3, 509-551.
    • (1997) Duke Math. J. , vol.87 , Issue.3 , pp. 509-551
    • Kenig, C.E.1    Toro, T.2
  • 4
    • 0033235413 scopus 로고    scopus 로고
    • Free boundary regularity for harmonic measures and Poisson kernels
    • Kenig, C. E.; Toro, T. Free boundary regularity for harmonic measures and Poisson kernels. Ann. of Math. (2) 150 (1999), no. 2, 369-454.
    • (1999) Ann. of Math. (2) , vol.150 , Issue.2 , pp. 369-454
    • Kenig, C.E.1    Toro, T.2
  • 6
    • 0000881329 scopus 로고
    • Besicovitch-type properties of measures and submanifolds
    • Kowalski, O.; Preiss, D. Besicovitch-type properties of measures and submanifolds. J. Reine Angew. Math. 379 (1987), 115-151.
    • (1987) J. Reine Angew. Math. , vol.379 , pp. 115-151
    • Kowalski, O.1    Preiss, D.2
  • 7
    • 0003745590 scopus 로고
    • Geometry of sets and measures in Euclidean spaces
    • Fractals and rectifiability Cambridge University Press, Cambridge
    • Mattila, P. Geometry of sets and measures in Euclidean spaces. Fractals and rectifiability. Cambridge Studies in Advanced Mathematics, 44. Cambridge University Press, Cambridge, 1995.
    • (1995) Cambridge Studies in Advanced Mathematics , vol.44
    • Mattila, P.1
  • 9
    • 0001684717 scopus 로고
    • n: Distribution, rectifiability, and densities
    • n: distribution, rectifiability, and densities. Ann. of Math. (2) 125 (1987), no. 3, 537-643.
    • (1987) Ann. of Math. (2) , vol.125 , Issue.3 , pp. 537-643
    • Preiss, D.1
  • 10
    • 51249192844 scopus 로고
    • Solution of the plateau problem for m-dimensional surfaces of varying topological type
    • Reifenberg, E. R. Solution of the plateau problem for m-dimensional surfaces of varying topological type. Acta Math. 104 (1960), 1-92.
    • (1960) Acta Math. , vol.104 , pp. 1-92
    • Reifenberg, E.R.1
  • 11
    • 0039455568 scopus 로고    scopus 로고
    • Doubling and flatness: Geometry of measures
    • Toro, T. Doubling and flatness: geometry of measures. Notices Amer. Math. Soc. 44 (1997), no. 9, 1087-1094.
    • (1997) Notices Amer. Math. Soc. , vol.44 , Issue.9 , pp. 1087-1094
    • Toro, T.1

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